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Finding the Fourth Proportional to 10,876.32, 16,378.92 and 9,506.16

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Solution

The fourth proportional to 10,876.32, 16,378.92 and 9,506.16 is: 14,315.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,876.32 : 16,378.92 = 9,506.16 : x
  2. Step 2: Convert to fraction form
    10,876.32/16,378.92 = 9,506.16/x
  3. Step 3: Cross multiply
    10,876.32x = 16,378.92 × 9,506.16
  4. Step 4: Simplify right side
    10,876.32x = 155,700,634.15
  5. Step 5: Solve for x
    x = 155,700,634.15/10,876.32
  6. Step 6: Final answer
    x = 14,315.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.