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Finding the Fourth Proportional to 6,726.32, 9,280.61 and 3,741.47

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Solution

The fourth proportional to 6,726.32, 9,280.61 and 3,741.47 is: 5,162.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,726.32 : 9,280.61 = 3,741.47 : x
  2. Step 2: Convert to fraction form
    6,726.32/9,280.61 = 3,741.47/x
  3. Step 3: Cross multiply
    6,726.32x = 9,280.61 × 3,741.47
  4. Step 4: Simplify right side
    6,726.32x = 34,723,105.19
  5. Step 5: Solve for x
    x = 34,723,105.19/6,726.32
  6. Step 6: Final answer
    x = 5,162.27

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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.