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Finding the Fourth Proportional to 4,357.70, 6,537.65 and 1,237.71

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Solution

The fourth proportional to 4,357.70, 6,537.65 and 1,237.71 is: 1,856.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,357.70 : 6,537.65 = 1,237.71 : x
  2. Step 2: Convert to fraction form
    4,357.70/6,537.65 = 1,237.71/x
  3. Step 3: Cross multiply
    4,357.70x = 6,537.65 × 1,237.71
  4. Step 4: Simplify right side
    4,357.70x = 8,091,714.78
  5. Step 5: Solve for x
    x = 8,091,714.78/4,357.70
  6. Step 6: Final answer
    x = 1,856.88

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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.