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Finding the Fourth Proportional to 5,254.62, 7,881.15 and 1,967.10

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Solution

The fourth proportional to 5,254.62, 7,881.15 and 1,967.10 is: 2,950.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,254.62 : 7,881.15 = 1,967.10 : x
  2. Step 2: Convert to fraction form
    5,254.62/7,881.15 = 1,967.10/x
  3. Step 3: Cross multiply
    5,254.62x = 7,881.15 × 1,967.10
  4. Step 4: Simplify right side
    5,254.62x = 15,503,010.17
  5. Step 5: Solve for x
    x = 15,503,010.17/5,254.62
  6. Step 6: Final answer
    x = 2,950.36

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1.5x scale

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.