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Finding the Fourth Proportional to 8,176.53, 12,264.90 and 2,333.14

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Solution

The fourth proportional to 8,176.53, 12,264.90 and 2,333.14 is: 3,499.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,176.53 : 12,264.90 = 2,333.14 : x
  2. Step 2: Convert to fraction form
    8,176.53/12,264.90 = 2,333.14/x
  3. Step 3: Cross multiply
    8,176.53x = 12,264.90 × 2,333.14
  4. Step 4: Simplify right side
    8,176.53x = 28,615,728.79
  5. Step 5: Solve for x
    x = 28,615,728.79/8,176.53
  6. Step 6: Final answer
    x = 3,499.74

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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.