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Finding the Fourth Proportional to 10,874.65, 15,007.02 and 6,158.93

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Solution

The fourth proportional to 10,874.65, 15,007.02 and 6,158.93 is: 8,499.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,874.65 : 15,007.02 = 6,158.93 : x
  2. Step 2: Convert to fraction form
    10,874.65/15,007.02 = 6,158.93/x
  3. Step 3: Cross multiply
    10,874.65x = 15,007.02 × 6,158.93
  4. Step 4: Simplify right side
    10,874.65x = 92,427,154.89
  5. Step 5: Solve for x
    x = 92,427,154.89/10,874.65
  6. Step 6: Final answer
    x = 8,499.32

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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.