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Finding the Fourth Proportional to 5,971.04, 8,956.56 and 2,851.12

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Solution

The fourth proportional to 5,971.04, 8,956.56 and 2,851.12 is: 4,276.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,971.04 : 8,956.56 = 2,851.12 : x
  2. Step 2: Convert to fraction form
    5,971.04/8,956.56 = 2,851.12/x
  3. Step 3: Cross multiply
    5,971.04x = 8,956.56 × 2,851.12
  4. Step 4: Simplify right side
    5,971.04x = 25,536,227.35
  5. Step 5: Solve for x
    x = 25,536,227.35/5,971.04
  6. Step 6: Final answer
    x = 4,276.68

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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.