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Finding the Fourth Proportional to 6,710.42, 9,259.80 and 3,726.20

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Solution

The fourth proportional to 6,710.42, 9,259.80 and 3,726.20 is: 5,141.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,710.42 : 9,259.80 = 3,726.20 : x
  2. Step 2: Convert to fraction form
    6,710.42/9,259.80 = 3,726.20/x
  3. Step 3: Cross multiply
    6,710.42x = 9,259.80 × 3,726.20
  4. Step 4: Simplify right side
    6,710.42x = 34,503,866.76
  5. Step 5: Solve for x
    x = 34,503,866.76/6,710.42
  6. Step 6: Final answer
    x = 5,141.83

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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.