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Finding the Fourth Proportional to 10,285.68, 15,384.44 and 9,538.68

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Solution

The fourth proportional to 10,285.68, 15,384.44 and 9,538.68 is: 14,267.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,285.68 : 15,384.44 = 9,538.68 : x
  2. Step 2: Convert to fraction form
    10,285.68/15,384.44 = 9,538.68/x
  3. Step 3: Cross multiply
    10,285.68x = 15,384.44 × 9,538.68
  4. Step 4: Simplify right side
    10,285.68x = 146,747,250.14
  5. Step 5: Solve for x
    x = 146,747,250.14/10,285.68
  6. Step 6: Final answer
    x = 14,267.14

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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.