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Finding the Fourth Proportional to 11,560.10, 15,957.03 and 6,844.38

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Solution

The fourth proportional to 11,560.10, 15,957.03 and 6,844.38 is: 9,447.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,560.10 : 15,957.03 = 6,844.38 : x
  2. Step 2: Convert to fraction form
    11,560.10/15,957.03 = 6,844.38/x
  3. Step 3: Cross multiply
    11,560.10x = 15,957.03 × 6,844.38
  4. Step 4: Simplify right side
    11,560.10x = 109,215,976.99
  5. Step 5: Solve for x
    x = 109,215,976.99/11,560.10
  6. Step 6: Final answer
    x = 9,447.67

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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.