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Finding the Fourth Proportional to 10,532.90, 14,534.97 and 6,750.74

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Solution

The fourth proportional to 10,532.90, 14,534.97 and 6,750.74 is: 9,315.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,532.90 : 14,534.97 = 6,750.74 : x
  2. Step 2: Convert to fraction form
    10,532.90/14,534.97 = 6,750.74/x
  3. Step 3: Cross multiply
    10,532.90x = 14,534.97 × 6,750.74
  4. Step 4: Simplify right side
    10,532.90x = 98,121,803.38
  5. Step 5: Solve for x
    x = 98,121,803.38/10,532.90
  6. Step 6: Final answer
    x = 9,315.74

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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.