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Finding the Fourth Proportional to 8,569.32, 12,824.75 and 7,184.22

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Solution

The fourth proportional to 8,569.32, 12,824.75 and 7,184.22 is: 10,751.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,569.32 : 12,824.75 = 7,184.22 : x
  2. Step 2: Convert to fraction form
    8,569.32/12,824.75 = 7,184.22/x
  3. Step 3: Cross multiply
    8,569.32x = 12,824.75 × 7,184.22
  4. Step 4: Simplify right side
    8,569.32x = 92,135,825.45
  5. Step 5: Solve for x
    x = 92,135,825.45/8,569.32
  6. Step 6: Final answer
    x = 10,751.82

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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.