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Finding the Fourth Proportional to 8,102.72, 12,154.16 and 2,259.76

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Solution

The fourth proportional to 8,102.72, 12,154.16 and 2,259.76 is: 3,389.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,102.72 : 12,154.16 = 2,259.76 : x
  2. Step 2: Convert to fraction form
    8,102.72/12,154.16 = 2,259.76/x
  3. Step 3: Cross multiply
    8,102.72x = 12,154.16 × 2,259.76
  4. Step 4: Simplify right side
    8,102.72x = 27,465,484.60
  5. Step 5: Solve for x
    x = 27,465,484.60/8,102.72
  6. Step 6: Final answer
    x = 3,389.66

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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.