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Finding the Fourth Proportional to 6,165.74, 8,506.86 and 3,648.14

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Solution

The fourth proportional to 6,165.74, 8,506.86 and 3,648.14 is: 5,033.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,165.74 : 8,506.86 = 3,648.14 : x
  2. Step 2: Convert to fraction form
    6,165.74/8,506.86 = 3,648.14/x
  3. Step 3: Cross multiply
    6,165.74x = 8,506.86 × 3,648.14
  4. Step 4: Simplify right side
    6,165.74x = 31,034,216.24
  5. Step 5: Solve for x
    x = 31,034,216.24/6,165.74
  6. Step 6: Final answer
    x = 5,033.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.