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Finding the Fourth Proportional to 21,998.48, 32,997.71 and 6,416.10

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Solution

The fourth proportional to 21,998.48, 32,997.71 and 6,416.10 is: 9,624.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,998.48 : 32,997.71 = 6,416.10 : x
  2. Step 2: Convert to fraction form
    21,998.48/32,997.71 = 6,416.10/x
  3. Step 3: Cross multiply
    21,998.48x = 32,997.71 × 6,416.10
  4. Step 4: Simplify right side
    21,998.48x = 211,716,575.05
  5. Step 5: Solve for x
    x = 211,716,575.05/21,998.48
  6. Step 6: Final answer
    x = 9,624.15

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.