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Finding the Fourth Proportional to 8,289, 12,425.88 and 7,567.56

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Solution

The fourth proportional to 8,289, 12,425.88 and 7,567.56 is: 11,344.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,289 : 12,425.88 = 7,567.56 : x
  2. Step 2: Convert to fraction form
    8,289/12,425.88 = 7,567.56/x
  3. Step 3: Cross multiply
    8,289x = 12,425.88 × 7,567.56
  4. Step 4: Simplify right side
    8,289x = 94,033,592.45
  5. Step 5: Solve for x
    x = 94,033,592.45/8,289
  6. Step 6: Final answer
    x = 11,344.38

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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.