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Finding the Fourth Proportional to 9,841.91, 13,569.12 and 7,326.86

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Solution

The fourth proportional to 9,841.91, 13,569.12 and 7,326.86 is: 10,101.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,841.91 : 13,569.12 = 7,326.86 : x
  2. Step 2: Convert to fraction form
    9,841.91/13,569.12 = 7,326.86/x
  3. Step 3: Cross multiply
    9,841.91x = 13,569.12 × 7,326.86
  4. Step 4: Simplify right side
    9,841.91x = 99,418,974.72
  5. Step 5: Solve for x
    x = 99,418,974.72/9,841.91
  6. Step 6: Final answer
    x = 10,101.60

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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.