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Finding the Fourth Proportional to 5,585.76, 7,700.12 and 4,257.16

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Solution

The fourth proportional to 5,585.76, 7,700.12 and 4,257.16 is: 5,868.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,585.76 : 7,700.12 = 4,257.16 : x
  2. Step 2: Convert to fraction form
    5,585.76/7,700.12 = 4,257.16/x
  3. Step 3: Cross multiply
    5,585.76x = 7,700.12 × 4,257.16
  4. Step 4: Simplify right side
    5,585.76x = 32,780,642.86
  5. Step 5: Solve for x
    x = 32,780,642.86/5,585.76
  6. Step 6: Final answer
    x = 5,868.61

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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.