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Finding the Fourth Proportional to 7,567.68, 11,353.68 and 3,182.88

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Solution

The fourth proportional to 7,567.68, 11,353.68 and 3,182.88 is: 4,775.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,567.68 : 11,353.68 = 3,182.88 : x
  2. Step 2: Convert to fraction form
    7,567.68/11,353.68 = 3,182.88/x
  3. Step 3: Cross multiply
    7,567.68x = 11,353.68 × 3,182.88
  4. Step 4: Simplify right side
    7,567.68x = 36,137,401.00
  5. Step 5: Solve for x
    x = 36,137,401.00/7,567.68
  6. Step 6: Final answer
    x = 4,775.23

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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.