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Finding the Fourth Proportional to 16,363.68, 22,581.28 and 9,649.60

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Solution

The fourth proportional to 16,363.68, 22,581.28 and 9,649.60 is: 13,316.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,363.68 : 22,581.28 = 9,649.60 : x
  2. Step 2: Convert to fraction form
    16,363.68/22,581.28 = 9,649.60/x
  3. Step 3: Cross multiply
    16,363.68x = 22,581.28 × 9,649.60
  4. Step 4: Simplify right side
    16,363.68x = 217,900,319.49
  5. Step 5: Solve for x
    x = 217,900,319.49/16,363.68
  6. Step 6: Final answer
    x = 13,316.10

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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.