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Finding the Fourth Proportional to 6,306.57, 8,700.13 and 4,069.16

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Solution

The fourth proportional to 6,306.57, 8,700.13 and 4,069.16 is: 5,613.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,306.57 : 8,700.13 = 4,069.16 : x
  2. Step 2: Convert to fraction form
    6,306.57/8,700.13 = 4,069.16/x
  3. Step 3: Cross multiply
    6,306.57x = 8,700.13 × 4,069.16
  4. Step 4: Simplify right side
    6,306.57x = 35,402,220.99
  5. Step 5: Solve for x
    x = 35,402,220.99/6,306.57
  6. Step 6: Final answer
    x = 5,613.55

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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.