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Finding the Fourth Proportional to 6,503.26, 8,974.62 and 3,849.70

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Solution

The fourth proportional to 6,503.26, 8,974.62 and 3,849.70 is: 5,312.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,503.26 : 8,974.62 = 3,849.70 : x
  2. Step 2: Convert to fraction form
    6,503.26/8,974.62 = 3,849.70/x
  3. Step 3: Cross multiply
    6,503.26x = 8,974.62 × 3,849.70
  4. Step 4: Simplify right side
    6,503.26x = 34,549,594.61
  5. Step 5: Solve for x
    x = 34,549,594.61/6,503.26
  6. Step 6: Final answer
    x = 5,312.66

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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.