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Finding the Fourth Proportional to 6,502.96, 8,974.20 and 3,670.90

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Solution

The fourth proportional to 6,502.96, 8,974.20 and 3,670.90 is: 5,065.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.96 : 8,974.20 = 3,670.90 : x
  2. Step 2: Convert to fraction form
    6,502.96/8,974.20 = 3,670.90/x
  3. Step 3: Cross multiply
    6,502.96x = 8,974.20 × 3,670.90
  4. Step 4: Simplify right side
    6,502.96x = 32,943,390.78
  5. Step 5: Solve for x
    x = 32,943,390.78/6,502.96
  6. Step 6: Final answer
    x = 5,065.91

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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.