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Finding the Fourth Proportional to 6,570.70, 9,853.71 and 2,871.88

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Solution

The fourth proportional to 6,570.70, 9,853.71 and 2,871.88 is: 4,306.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,570.70 : 9,853.71 = 2,871.88 : x
  2. Step 2: Convert to fraction form
    6,570.70/9,853.71 = 2,871.88/x
  3. Step 3: Cross multiply
    6,570.70x = 9,853.71 × 2,871.88
  4. Step 4: Simplify right side
    6,570.70x = 28,298,672.67
  5. Step 5: Solve for x
    x = 28,298,672.67/6,570.70
  6. Step 6: Final answer
    x = 4,306.80

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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.