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Finding the Fourth Proportional to 5,853.84, 8,780.70 and 1,471.20

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Solution

The fourth proportional to 5,853.84, 8,780.70 and 1,471.20 is: 2,206.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,853.84 : 8,780.70 = 1,471.20 : x
  2. Step 2: Convert to fraction form
    5,853.84/8,780.70 = 1,471.20/x
  3. Step 3: Cross multiply
    5,853.84x = 8,780.70 × 1,471.20
  4. Step 4: Simplify right side
    5,853.84x = 12,918,165.84
  5. Step 5: Solve for x
    x = 12,918,165.84/5,853.84
  6. Step 6: Final answer
    x = 2,206.78

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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.