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Finding the Fourth Proportional to 6,506.60, 9,759.90 and 2,124.20

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Solution

The fourth proportional to 6,506.60, 9,759.90 and 2,124.20 is: 3,186.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,506.60 : 9,759.90 = 2,124.20 : x
  2. Step 2: Convert to fraction form
    6,506.60/9,759.90 = 2,124.20/x
  3. Step 3: Cross multiply
    6,506.60x = 9,759.90 × 2,124.20
  4. Step 4: Simplify right side
    6,506.60x = 20,731,979.58
  5. Step 5: Solve for x
    x = 20,731,979.58/6,506.60
  6. Step 6: Final answer
    x = 3,186.30

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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.