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Finding the Fourth Proportional to 11,423.74, 15,758.18 and 6,707.11

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Solution

The fourth proportional to 11,423.74, 15,758.18 and 6,707.11 is: 9,251.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,423.74 : 15,758.18 = 6,707.11 : x
  2. Step 2: Convert to fraction form
    11,423.74/15,758.18 = 6,707.11/x
  3. Step 3: Cross multiply
    11,423.74x = 15,758.18 × 6,707.11
  4. Step 4: Simplify right side
    11,423.74x = 105,691,784.64
  5. Step 5: Solve for x
    x = 105,691,784.64/11,423.74
  6. Step 6: Final answer
    x = 9,251.95

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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.