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Finding the Fourth Proportional to 10,398.92, 14,350.02 and 5,683.10

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Solution

The fourth proportional to 10,398.92, 14,350.02 and 5,683.10 is: 7,842.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,398.92 : 14,350.02 = 5,683.10 : x
  2. Step 2: Convert to fraction form
    10,398.92/14,350.02 = 5,683.10/x
  3. Step 3: Cross multiply
    10,398.92x = 14,350.02 × 5,683.10
  4. Step 4: Simplify right side
    10,398.92x = 81,552,598.66
  5. Step 5: Solve for x
    x = 81,552,598.66/10,398.92
  6. Step 6: Final answer
    x = 7,842.41

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Half scale
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Double scale
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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.