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Finding the Fourth Proportional to 6,842.52, 9,442.67 and 3,698.71

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Solution

The fourth proportional to 6,842.52, 9,442.67 and 3,698.71 is: 5,104.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,842.52 : 9,442.67 = 3,698.71 : x
  2. Step 2: Convert to fraction form
    6,842.52/9,442.67 = 3,698.71/x
  3. Step 3: Cross multiply
    6,842.52x = 9,442.67 × 3,698.71
  4. Step 4: Simplify right side
    6,842.52x = 34,925,655.86
  5. Step 5: Solve for x
    x = 34,925,655.86/6,842.52
  6. Step 6: Final answer
    x = 5,104.21

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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.