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Finding the Fourth Proportional to 5,981.76, 8,974.06 and 1,877.76

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Solution

The fourth proportional to 5,981.76, 8,974.06 and 1,877.76 is: 2,817.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,981.76 : 8,974.06 = 1,877.76 : x
  2. Step 2: Convert to fraction form
    5,981.76/8,974.06 = 1,877.76/x
  3. Step 3: Cross multiply
    5,981.76x = 8,974.06 × 1,877.76
  4. Step 4: Simplify right side
    5,981.76x = 16,851,130.91
  5. Step 5: Solve for x
    x = 16,851,130.91/5,981.76
  6. Step 6: Final answer
    x = 2,817.09

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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.