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Finding the Fourth Proportional to 6,502.04, 8,972.12 and 3,668.78

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Solution

The fourth proportional to 6,502.04, 8,972.12 and 3,668.78 is: 5,062.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.04 : 8,972.12 = 3,668.78 : x
  2. Step 2: Convert to fraction form
    6,502.04/8,972.12 = 3,668.78/x
  3. Step 3: Cross multiply
    6,502.04x = 8,972.12 × 3,668.78
  4. Step 4: Simplify right side
    6,502.04x = 32,916,734.41
  5. Step 5: Solve for x
    x = 32,916,734.41/6,502.04
  6. Step 6: Final answer
    x = 5,062.52

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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.