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Finding the Fourth Proportional to 7,711.70, 10,623.91 and 6,358.50

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Solution

The fourth proportional to 7,711.70, 10,623.91 and 6,358.50 is: 8,759.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,711.70 : 10,623.91 = 6,358.50 : x
  2. Step 2: Convert to fraction form
    7,711.70/10,623.91 = 6,358.50/x
  3. Step 3: Cross multiply
    7,711.70x = 10,623.91 × 6,358.50
  4. Step 4: Simplify right side
    7,711.70x = 67,552,046.82
  5. Step 5: Solve for x
    x = 67,552,046.82/7,711.70
  6. Step 6: Final answer
    x = 8,759.68

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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.