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Finding the Fourth Proportional to 9,221.41, 13,832.12 and 3,953.00

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Solution

The fourth proportional to 9,221.41, 13,832.12 and 3,953.00 is: 5,929.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,221.41 : 13,832.12 = 3,953.00 : x
  2. Step 2: Convert to fraction form
    9,221.41/13,832.12 = 3,953.00/x
  3. Step 3: Cross multiply
    9,221.41x = 13,832.12 × 3,953.00
  4. Step 4: Simplify right side
    9,221.41x = 54,678,314.78
  5. Step 5: Solve for x
    x = 54,678,314.78/9,221.41
  6. Step 6: Final answer
    x = 5,929.50

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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.