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Finding the Fourth Proportional to 10,750.76, 14,834.76 and 6,274

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Solution

The fourth proportional to 10,750.76, 14,834.76 and 6,274 is: 8,657.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,750.76 : 14,834.76 = 6,274 : x
  2. Step 2: Convert to fraction form
    10,750.76/14,834.76 = 6,274/x
  3. Step 3: Cross multiply
    10,750.76x = 14,834.76 × 6,274
  4. Step 4: Simplify right side
    10,750.76x = 93,073,284.24
  5. Step 5: Solve for x
    x = 93,073,284.24/10,750.76
  6. Step 6: Final answer
    x = 8,657.37

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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.