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Finding the Fourth Proportional to 9,932.32, 14,898.30 and 8,382.28

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Solution

The fourth proportional to 9,932.32, 14,898.30 and 8,382.28 is: 12,573.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,932.32 : 14,898.30 = 8,382.28 : x
  2. Step 2: Convert to fraction form
    9,932.32/14,898.30 = 8,382.28/x
  3. Step 3: Cross multiply
    9,932.32x = 14,898.30 × 8,382.28
  4. Step 4: Simplify right side
    9,932.32x = 124,881,722.12
  5. Step 5: Solve for x
    x = 124,881,722.12/9,932.32
  6. Step 6: Final answer
    x = 12,573.27

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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.