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Finding the Fourth Proportional to 12,344.13, 17,034.84 and 11,340

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Solution

The fourth proportional to 12,344.13, 17,034.84 and 11,340 is: 15,649.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,344.13 : 17,034.84 = 11,340 : x
  2. Step 2: Convert to fraction form
    12,344.13/17,034.84 = 11,340/x
  3. Step 3: Cross multiply
    12,344.13x = 17,034.84 × 11,340
  4. Step 4: Simplify right side
    12,344.13x = 193,175,085.60
  5. Step 5: Solve for x
    x = 193,175,085.60/12,344.13
  6. Step 6: Final answer
    x = 15,649.15

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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.