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Finding the Fourth Proportional to 10,073.92, 15,097.68 and 5,144.80

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Solution

The fourth proportional to 10,073.92, 15,097.68 and 5,144.80 is: 7,710.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,073.92 : 15,097.68 = 5,144.80 : x
  2. Step 2: Convert to fraction form
    10,073.92/15,097.68 = 5,144.80/x
  3. Step 3: Cross multiply
    10,073.92x = 15,097.68 × 5,144.80
  4. Step 4: Simplify right side
    10,073.92x = 77,674,544.06
  5. Step 5: Solve for x
    x = 77,674,544.06/10,073.92
  6. Step 6: Final answer
    x = 7,710.46

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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.