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Finding the Fourth Proportional to 6,904.24, 9,463.33 and 6,654.86

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Solution

The fourth proportional to 6,904.24, 9,463.33 and 6,654.86 is: 9,121.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,904.24 : 9,463.33 = 6,654.86 : x
  2. Step 2: Convert to fraction form
    6,904.24/9,463.33 = 6,654.86/x
  3. Step 3: Cross multiply
    6,904.24x = 9,463.33 × 6,654.86
  4. Step 4: Simplify right side
    6,904.24x = 62,977,132.77
  5. Step 5: Solve for x
    x = 62,977,132.77/6,904.24
  6. Step 6: Final answer
    x = 9,121.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.