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Finding the Fourth Proportional to 10,741, 14,825.14 and 6,552.76

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Solution

The fourth proportional to 10,741, 14,825.14 and 6,552.76 is: 9,044.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,741 : 14,825.14 = 6,552.76 : x
  2. Step 2: Convert to fraction form
    10,741/14,825.14 = 6,552.76/x
  3. Step 3: Cross multiply
    10,741x = 14,825.14 × 6,552.76
  4. Step 4: Simplify right side
    10,741x = 97,145,584.39
  5. Step 5: Solve for x
    x = 97,145,584.39/10,741
  6. Step 6: Final answer
    x = 9,044.37

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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.