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Finding the Fourth Proportional to 11,873.88, 16,358.10 and 8,282.28

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Solution

The fourth proportional to 11,873.88, 16,358.10 and 8,282.28 is: 11,410.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,873.88 : 16,358.10 = 8,282.28 : x
  2. Step 2: Convert to fraction form
    11,873.88/16,358.10 = 8,282.28/x
  3. Step 3: Cross multiply
    11,873.88x = 16,358.10 × 8,282.28
  4. Step 4: Simplify right side
    11,873.88x = 135,482,364.47
  5. Step 5: Solve for x
    x = 135,482,364.47/11,873.88
  6. Step 6: Final answer
    x = 11,410.12

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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.