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Finding the Fourth Proportional to 10,894.22, 15,034.11 and 5,926.22

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Solution

The fourth proportional to 10,894.22, 15,034.11 and 5,926.22 is: 8,178.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,894.22 : 15,034.11 = 5,926.22 : x
  2. Step 2: Convert to fraction form
    10,894.22/15,034.11 = 5,926.22/x
  3. Step 3: Cross multiply
    10,894.22x = 15,034.11 × 5,926.22
  4. Step 4: Simplify right side
    10,894.22x = 89,095,443.36
  5. Step 5: Solve for x
    x = 89,095,443.36/10,894.22
  6. Step 6: Final answer
    x = 8,178.23

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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.