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Finding the Fourth Proportional to 6,589.44, 9,887.40 and 4,654.08

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Solution

The fourth proportional to 6,589.44, 9,887.40 and 4,654.08 is: 6,983.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,589.44 : 9,887.40 = 4,654.08 : x
  2. Step 2: Convert to fraction form
    6,589.44/9,887.40 = 4,654.08/x
  3. Step 3: Cross multiply
    6,589.44x = 9,887.40 × 4,654.08
  4. Step 4: Simplify right side
    6,589.44x = 46,016,750.59
  5. Step 5: Solve for x
    x = 46,016,750.59/6,589.44
  6. Step 6: Final answer
    x = 6,983.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.