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Finding the Fourth Proportional to 10,894.56, 15,034.05 and 6,178.74

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Solution

The fourth proportional to 10,894.56, 15,034.05 and 6,178.74 is: 8,526.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,894.56 : 15,034.05 = 6,178.74 : x
  2. Step 2: Convert to fraction form
    10,894.56/15,034.05 = 6,178.74/x
  3. Step 3: Cross multiply
    10,894.56x = 15,034.05 × 6,178.74
  4. Step 4: Simplify right side
    10,894.56x = 92,891,486.10
  5. Step 5: Solve for x
    x = 92,891,486.10/10,894.56
  6. Step 6: Final answer
    x = 8,526.41

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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.