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Finding the Fourth Proportional to 6,242.42, 8,614.59 and 3,447.92

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Solution

The fourth proportional to 6,242.42, 8,614.59 and 3,447.92 is: 4,758.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,242.42 : 8,614.59 = 3,447.92 : x
  2. Step 2: Convert to fraction form
    6,242.42/8,614.59 = 3,447.92/x
  3. Step 3: Cross multiply
    6,242.42x = 8,614.59 × 3,447.92
  4. Step 4: Simplify right side
    6,242.42x = 29,702,417.15
  5. Step 5: Solve for x
    x = 29,702,417.15/6,242.42
  6. Step 6: Final answer
    x = 4,758.16

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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.