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Finding the Fourth Proportional to 8,013.76, 11,045.82 and 6,242.32

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Solution

The fourth proportional to 8,013.76, 11,045.82 and 6,242.32 is: 8,604.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,013.76 : 11,045.82 = 6,242.32 : x
  2. Step 2: Convert to fraction form
    8,013.76/11,045.82 = 6,242.32/x
  3. Step 3: Cross multiply
    8,013.76x = 11,045.82 × 6,242.32
  4. Step 4: Simplify right side
    8,013.76x = 68,951,543.10
  5. Step 5: Solve for x
    x = 68,951,543.10/8,013.76
  6. Step 6: Final answer
    x = 8,604.14

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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.