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Finding the Fourth Proportional to 7,658.77, 10,559.41 and 5,001.97

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Solution

The fourth proportional to 7,658.77, 10,559.41 and 5,001.97 is: 6,896.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,658.77 : 10,559.41 = 5,001.97 : x
  2. Step 2: Convert to fraction form
    7,658.77/10,559.41 = 5,001.97/x
  3. Step 3: Cross multiply
    7,658.77x = 10,559.41 × 5,001.97
  4. Step 4: Simplify right side
    7,658.77x = 52,817,852.04
  5. Step 5: Solve for x
    x = 52,817,852.04/7,658.77
  6. Step 6: Final answer
    x = 6,896.39

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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.