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Finding the Fourth Proportional to 9,997.77, 13,794.53 and 6,460.41

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Solution

The fourth proportional to 9,997.77, 13,794.53 and 6,460.41 is: 8,913.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,997.77 : 13,794.53 = 6,460.41 : x
  2. Step 2: Convert to fraction form
    9,997.77/13,794.53 = 6,460.41/x
  3. Step 3: Cross multiply
    9,997.77x = 13,794.53 × 6,460.41
  4. Step 4: Simplify right side
    9,997.77x = 89,118,287.26
  5. Step 5: Solve for x
    x = 89,118,287.26/9,997.77
  6. Step 6: Final answer
    x = 8,913.82

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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 (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.