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Finding the Fourth Proportional to 8,237.70, 12,353.22 and 5,113.08

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Solution

The fourth proportional to 8,237.70, 12,353.22 and 5,113.08 is: 7,667.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,237.70 : 12,353.22 = 5,113.08 : x
  2. Step 2: Convert to fraction form
    8,237.70/12,353.22 = 5,113.08/x
  3. Step 3: Cross multiply
    8,237.70x = 12,353.22 × 5,113.08
  4. Step 4: Simplify right side
    8,237.70x = 63,163,002.12
  5. Step 5: Solve for x
    x = 63,163,002.12/8,237.70
  6. Step 6: Final answer
    x = 7,667.55

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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.