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Finding the Fourth Proportional to 10,624.96, 15,942.96 and 5,942.08

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Solution

The fourth proportional to 10,624.96, 15,942.96 and 5,942.08 is: 8,916.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,624.96 : 15,942.96 = 5,942.08 : x
  2. Step 2: Convert to fraction form
    10,624.96/15,942.96 = 5,942.08/x
  3. Step 3: Cross multiply
    10,624.96x = 15,942.96 × 5,942.08
  4. Step 4: Simplify right side
    10,624.96x = 94,734,343.76
  5. Step 5: Solve for x
    x = 94,734,343.76/10,624.96
  6. Step 6: Final answer
    x = 8,916.21

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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.