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Finding the Fourth Proportional to 6,164.87, 8,506.69 and 3,647.12

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Solution

The fourth proportional to 6,164.87, 8,506.69 and 3,647.12 is: 5,032.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164.87 : 8,506.69 = 3,647.12 : x
  2. Step 2: Convert to fraction form
    6,164.87/8,506.69 = 3,647.12/x
  3. Step 3: Cross multiply
    6,164.87x = 8,506.69 × 3,647.12
  4. Step 4: Simplify right side
    6,164.87x = 31,024,867.58
  5. Step 5: Solve for x
    x = 31,024,867.58/6,164.87
  6. Step 6: Final answer
    x = 5,032.53

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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.