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Finding the Fourth Proportional to 7,046.90, 9,726.78 and 4,358.91

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Solution

The fourth proportional to 7,046.90, 9,726.78 and 4,358.91 is: 6,016.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,046.90 : 9,726.78 = 4,358.91 : x
  2. Step 2: Convert to fraction form
    7,046.90/9,726.78 = 4,358.91/x
  3. Step 3: Cross multiply
    7,046.90x = 9,726.78 × 4,358.91
  4. Step 4: Simplify right side
    7,046.90x = 42,398,211.43
  5. Step 5: Solve for x
    x = 42,398,211.43/7,046.90
  6. Step 6: Final answer
    x = 6,016.58

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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.