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Finding the Fourth Proportional to 6,651.74, 9,977.58 and 3,140.58

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Solution

The fourth proportional to 6,651.74, 9,977.58 and 3,140.58 is: 4,710.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,651.74 : 9,977.58 = 3,140.58 : x
  2. Step 2: Convert to fraction form
    6,651.74/9,977.58 = 3,140.58/x
  3. Step 3: Cross multiply
    6,651.74x = 9,977.58 × 3,140.58
  4. Step 4: Simplify right side
    6,651.74x = 31,335,388.20
  5. Step 5: Solve for x
    x = 31,335,388.20/6,651.74
  6. Step 6: Final answer
    x = 4,710.86

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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.