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Finding the Fourth Proportional to 8,498.57, 11,724.76 and 6,265.76

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Solution

The fourth proportional to 8,498.57, 11,724.76 and 6,265.76 is: 8,644.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,498.57 : 11,724.76 = 6,265.76 : x
  2. Step 2: Convert to fraction form
    8,498.57/11,724.76 = 6,265.76/x
  3. Step 3: Cross multiply
    8,498.57x = 11,724.76 × 6,265.76
  4. Step 4: Simplify right side
    8,498.57x = 73,464,545.87
  5. Step 5: Solve for x
    x = 73,464,545.87/8,498.57
  6. Step 6: Final answer
    x = 8,644.34

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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.