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Finding the Fourth Proportional to 6,473.72, 8,934.28 and 3,641.76

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Solution

The fourth proportional to 6,473.72, 8,934.28 and 3,641.76 is: 5,025.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,473.72 : 8,934.28 = 3,641.76 : x
  2. Step 2: Convert to fraction form
    6,473.72/8,934.28 = 3,641.76/x
  3. Step 3: Cross multiply
    6,473.72x = 8,934.28 × 3,641.76
  4. Step 4: Simplify right side
    6,473.72x = 32,536,503.53
  5. Step 5: Solve for x
    x = 32,536,503.53/6,473.72
  6. Step 6: Final answer
    x = 5,025.94

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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.