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Finding the Fourth Proportional to 7,772.92, 11,655.90 and 2,506.30

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Solution

The fourth proportional to 7,772.92, 11,655.90 and 2,506.30 is: 3,758.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,772.92 : 11,655.90 = 2,506.30 : x
  2. Step 2: Convert to fraction form
    7,772.92/11,655.90 = 2,506.30/x
  3. Step 3: Cross multiply
    7,772.92x = 11,655.90 × 2,506.30
  4. Step 4: Simplify right side
    7,772.92x = 29,213,182.17
  5. Step 5: Solve for x
    x = 29,213,182.17/7,772.92
  6. Step 6: Final answer
    x = 3,758.33

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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.