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Finding the Fourth Proportional to 6,157.66, 8,494.62 and 4,032.28

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Solution

The fourth proportional to 6,157.66, 8,494.62 and 4,032.28 is: 5,562.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,157.66 : 8,494.62 = 4,032.28 : x
  2. Step 2: Convert to fraction form
    6,157.66/8,494.62 = 4,032.28/x
  3. Step 3: Cross multiply
    6,157.66x = 8,494.62 × 4,032.28
  4. Step 4: Simplify right side
    6,157.66x = 34,252,679.00
  5. Step 5: Solve for x
    x = 34,252,679.00/6,157.66
  6. Step 6: Final answer
    x = 5,562.61

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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.