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Finding the Fourth Proportional to 6,535.70, 9,019.14 and 3,702.86

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Solution

The fourth proportional to 6,535.70, 9,019.14 and 3,702.86 is: 5,109.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,535.70 : 9,019.14 = 3,702.86 : x
  2. Step 2: Convert to fraction form
    6,535.70/9,019.14 = 3,702.86/x
  3. Step 3: Cross multiply
    6,535.70x = 9,019.14 × 3,702.86
  4. Step 4: Simplify right side
    6,535.70x = 33,396,612.74
  5. Step 5: Solve for x
    x = 33,396,612.74/6,535.70
  6. Step 6: Final answer
    x = 5,109.88

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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.