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Finding the Fourth Proportional to 6,851.54, 10,275.06 and 2,468

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Solution

The fourth proportional to 6,851.54, 10,275.06 and 2,468 is: 3,701.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,851.54 : 10,275.06 = 2,468 : x
  2. Step 2: Convert to fraction form
    6,851.54/10,275.06 = 2,468/x
  3. Step 3: Cross multiply
    6,851.54x = 10,275.06 × 2,468
  4. Step 4: Simplify right side
    6,851.54x = 25,358,848.08
  5. Step 5: Solve for x
    x = 25,358,848.08/6,851.54
  6. Step 6: Final answer
    x = 3,701.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.