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Finding the Fourth Proportional to 7,737.33, 11,578.24 and 6,700.87

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Solution

The fourth proportional to 7,737.33, 11,578.24 and 6,700.87 is: 10,027.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,737.33 : 11,578.24 = 6,700.87 : x
  2. Step 2: Convert to fraction form
    7,737.33/11,578.24 = 6,700.87/x
  3. Step 3: Cross multiply
    7,737.33x = 11,578.24 × 6,700.87
  4. Step 4: Simplify right side
    7,737.33x = 77,584,281.07
  5. Step 5: Solve for x
    x = 77,584,281.07/7,737.33
  6. Step 6: Final answer
    x = 10,027.27

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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.