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Finding the Fourth Proportional to 10,265.76, 14,170.38 and 6,074

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Solution

The fourth proportional to 10,265.76, 14,170.38 and 6,074 is: 8,384.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,265.76 : 14,170.38 = 6,074 : x
  2. Step 2: Convert to fraction form
    10,265.76/14,170.38 = 6,074/x
  3. Step 3: Cross multiply
    10,265.76x = 14,170.38 × 6,074
  4. Step 4: Simplify right side
    10,265.76x = 86,070,888.12
  5. Step 5: Solve for x
    x = 86,070,888.12/10,265.76
  6. Step 6: Final answer
    x = 8,384.27

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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.