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Finding the Fourth Proportional to 11,592.50, 15,997.65 and 6,624.50

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Solution

The fourth proportional to 11,592.50, 15,997.65 and 6,624.50 is: 9,141.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,592.50 : 15,997.65 = 6,624.50 : x
  2. Step 2: Convert to fraction form
    11,592.50/15,997.65 = 6,624.50/x
  3. Step 3: Cross multiply
    11,592.50x = 15,997.65 × 6,624.50
  4. Step 4: Simplify right side
    11,592.50x = 105,976,432.43
  5. Step 5: Solve for x
    x = 105,976,432.43/11,592.50
  6. Step 6: Final answer
    x = 9,141.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.