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Finding the Fourth Proportional to 8,549.45, 12,824.12 and 4,602.57

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Solution

The fourth proportional to 8,549.45, 12,824.12 and 4,602.57 is: 6,903.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,549.45 : 12,824.12 = 4,602.57 : x
  2. Step 2: Convert to fraction form
    8,549.45/12,824.12 = 4,602.57/x
  3. Step 3: Cross multiply
    8,549.45x = 12,824.12 × 4,602.57
  4. Step 4: Simplify right side
    8,549.45x = 59,023,945.54
  5. Step 5: Solve for x
    x = 59,023,945.54/8,549.45
  6. Step 6: Final answer
    x = 6,903.83

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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.