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Finding the Fourth Proportional to 9,299.58, 13,932.63 and 9,102.78

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Solution

The fourth proportional to 9,299.58, 13,932.63 and 9,102.78 is: 13,637.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,299.58 : 13,932.63 = 9,102.78 : x
  2. Step 2: Convert to fraction form
    9,299.58/13,932.63 = 9,102.78/x
  3. Step 3: Cross multiply
    9,299.58x = 13,932.63 × 9,102.78
  4. Step 4: Simplify right side
    9,299.58x = 126,825,665.71
  5. Step 5: Solve for x
    x = 126,825,665.71/9,299.58
  6. Step 6: Final answer
    x = 13,637.78

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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.