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Finding the Fourth Proportional to 6,971, 10,458.12 and 2,354

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Solution

The fourth proportional to 6,971, 10,458.12 and 2,354 is: 3,531.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,971 : 10,458.12 = 2,354 : x
  2. Step 2: Convert to fraction form
    6,971/10,458.12 = 2,354/x
  3. Step 3: Cross multiply
    6,971x = 10,458.12 × 2,354
  4. Step 4: Simplify right side
    6,971x = 24,618,414.48
  5. Step 5: Solve for x
    x = 24,618,414.48/6,971
  6. Step 6: Final answer
    x = 3,531.55

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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.