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Finding the Fourth Proportional to 10,635.32, 15,934.74 and 7,509.74

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Solution

The fourth proportional to 10,635.32, 15,934.74 and 7,509.74 is: 11,251.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,635.32 : 15,934.74 = 7,509.74 : x
  2. Step 2: Convert to fraction form
    10,635.32/15,934.74 = 7,509.74/x
  3. Step 3: Cross multiply
    10,635.32x = 15,934.74 × 7,509.74
  4. Step 4: Simplify right side
    10,635.32x = 119,665,674.69
  5. Step 5: Solve for x
    x = 119,665,674.69/10,635.32
  6. Step 6: Final answer
    x = 11,251.73

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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.