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Finding the Fourth Proportional to 11,394.47, 15,729.16 and 6,919.66

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Solution

The fourth proportional to 11,394.47, 15,729.16 and 6,919.66 is: 9,552.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,394.47 : 15,729.16 = 6,919.66 : x
  2. Step 2: Convert to fraction form
    11,394.47/15,729.16 = 6,919.66/x
  3. Step 3: Cross multiply
    11,394.47x = 15,729.16 × 6,919.66
  4. Step 4: Simplify right side
    11,394.47x = 108,840,326.04
  5. Step 5: Solve for x
    x = 108,840,326.04/11,394.47
  6. Step 6: Final answer
    x = 9,552.03

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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.