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Finding the Fourth Proportional to 6,617.52, 9,129.85 and 4,097.00

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Solution

The fourth proportional to 6,617.52, 9,129.85 and 4,097.00 is: 5,652.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,617.52 : 9,129.85 = 4,097.00 : x
  2. Step 2: Convert to fraction form
    6,617.52/9,129.85 = 4,097.00/x
  3. Step 3: Cross multiply
    6,617.52x = 9,129.85 × 4,097.00
  4. Step 4: Simplify right side
    6,617.52x = 37,405,008.03
  5. Step 5: Solve for x
    x = 37,405,008.03/6,617.52
  6. Step 6: Final answer
    x = 5,652.42

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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.