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Finding the Fourth Proportional to 6,364.87, 9,543.45 and 2,854.22

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Solution

The fourth proportional to 6,364.87, 9,543.45 and 2,854.22 is: 4,279.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,364.87 : 9,543.45 = 2,854.22 : x
  2. Step 2: Convert to fraction form
    6,364.87/9,543.45 = 2,854.22/x
  3. Step 3: Cross multiply
    6,364.87x = 9,543.45 × 2,854.22
  4. Step 4: Simplify right side
    6,364.87x = 27,239,105.86
  5. Step 5: Solve for x
    x = 27,239,105.86/6,364.87
  6. Step 6: Final answer
    x = 4,279.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.