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Finding the Fourth Proportional to 6,507.53, 8,977.19 and 3,853.68

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Solution

The fourth proportional to 6,507.53, 8,977.19 and 3,853.68 is: 5,316.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,507.53 : 8,977.19 = 3,853.68 : x
  2. Step 2: Convert to fraction form
    6,507.53/8,977.19 = 3,853.68/x
  3. Step 3: Cross multiply
    6,507.53x = 8,977.19 × 3,853.68
  4. Step 4: Simplify right side
    6,507.53x = 34,595,217.56
  5. Step 5: Solve for x
    x = 34,595,217.56/6,507.53
  6. Step 6: Final answer
    x = 5,316.18

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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.