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Finding the Fourth Proportional to 10,508.68, 14,501.53 and 5,728.52

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Solution

The fourth proportional to 10,508.68, 14,501.53 and 5,728.52 is: 7,905.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,508.68 : 14,501.53 = 5,728.52 : x
  2. Step 2: Convert to fraction form
    10,508.68/14,501.53 = 5,728.52/x
  3. Step 3: Cross multiply
    10,508.68x = 14,501.53 × 5,728.52
  4. Step 4: Simplify right side
    10,508.68x = 83,072,232.13
  5. Step 5: Solve for x
    x = 83,072,232.13/10,508.68
  6. Step 6: Final answer
    x = 7,905.11

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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.