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Finding the Fourth Proportional to 11,598.56, 15,991.08 and 9,472.04

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Solution

The fourth proportional to 11,598.56, 15,991.08 and 9,472.04 is: 13,059.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,598.56 : 15,991.08 = 9,472.04 : x
  2. Step 2: Convert to fraction form
    11,598.56/15,991.08 = 9,472.04/x
  3. Step 3: Cross multiply
    11,598.56x = 15,991.08 × 9,472.04
  4. Step 4: Simplify right side
    11,598.56x = 151,468,149.40
  5. Step 5: Solve for x
    x = 151,468,149.40/11,598.56
  6. Step 6: Final answer
    x = 13,059.22

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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.