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Finding the Fourth Proportional to 9,617.43, 14,437.08 and 8,983.20

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Solution

The fourth proportional to 9,617.43, 14,437.08 and 8,983.20 is: 13,485.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,617.43 : 14,437.08 = 8,983.20 : x
  2. Step 2: Convert to fraction form
    9,617.43/14,437.08 = 8,983.20/x
  3. Step 3: Cross multiply
    9,617.43x = 14,437.08 × 8,983.20
  4. Step 4: Simplify right side
    9,617.43x = 129,691,177.06
  5. Step 5: Solve for x
    x = 129,691,177.06/9,617.43
  6. Step 6: Final answer
    x = 13,485.01

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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.