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Finding the Fourth Proportional to 10,950.53, 15,079.88 and 9,514.22

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Solution

The fourth proportional to 10,950.53, 15,079.88 and 9,514.22 is: 13,101.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,950.53 : 15,079.88 = 9,514.22 : x
  2. Step 2: Convert to fraction form
    10,950.53/15,079.88 = 9,514.22/x
  3. Step 3: Cross multiply
    10,950.53x = 15,079.88 × 9,514.22
  4. Step 4: Simplify right side
    10,950.53x = 143,473,244.28
  5. Step 5: Solve for x
    x = 143,473,244.28/10,950.53
  6. Step 6: Final answer
    x = 13,101.95

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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.