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Finding the Fourth Proportional to 11,423.14, 15,760.92 and 6,945.74

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Solution

The fourth proportional to 11,423.14, 15,760.92 and 6,945.74 is: 9,583.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,423.14 : 15,760.92 = 6,945.74 : x
  2. Step 2: Convert to fraction form
    11,423.14/15,760.92 = 6,945.74/x
  3. Step 3: Cross multiply
    11,423.14x = 15,760.92 × 6,945.74
  4. Step 4: Simplify right side
    11,423.14x = 109,471,252.48
  5. Step 5: Solve for x
    x = 109,471,252.48/11,423.14
  6. Step 6: Final answer
    x = 9,583.29

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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.