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Finding the Fourth Proportional to 10,970.66, 15,139.78 and 6,255.38

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Solution

The fourth proportional to 10,970.66, 15,139.78 and 6,255.38 is: 8,632.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,970.66 : 15,139.78 = 6,255.38 : x
  2. Step 2: Convert to fraction form
    10,970.66/15,139.78 = 6,255.38/x
  3. Step 3: Cross multiply
    10,970.66x = 15,139.78 × 6,255.38
  4. Step 4: Simplify right side
    10,970.66x = 94,705,077.02
  5. Step 5: Solve for x
    x = 94,705,077.02/10,970.66
  6. Step 6: Final answer
    x = 8,632.58

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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.