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Finding the Fourth Proportional to 10,250.78, 14,148.38 and 6,711.94

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Solution

The fourth proportional to 10,250.78, 14,148.38 and 6,711.94 is: 9,263.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,250.78 : 14,148.38 = 6,711.94 : x
  2. Step 2: Convert to fraction form
    10,250.78/14,148.38 = 6,711.94/x
  3. Step 3: Cross multiply
    10,250.78x = 14,148.38 × 6,711.94
  4. Step 4: Simplify right side
    10,250.78x = 94,963,059.07
  5. Step 5: Solve for x
    x = 94,963,059.07/10,250.78
  6. Step 6: Final answer
    x = 9,263.98

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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.