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Finding the Fourth Proportional to 6,506.68, 9,759.02 and 2,124.13

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Solution

The fourth proportional to 6,506.68, 9,759.02 and 2,124.13 is: 3,185.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,506.68 : 9,759.02 = 2,124.13 : x
  2. Step 2: Convert to fraction form
    6,506.68/9,759.02 = 2,124.13/x
  3. Step 3: Cross multiply
    6,506.68x = 9,759.02 × 2,124.13
  4. Step 4: Simplify right side
    6,506.68x = 20,729,427.15
  5. Step 5: Solve for x
    x = 20,729,427.15/6,506.68
  6. Step 6: Final answer
    x = 3,185.87

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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.