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Finding the Fourth Proportional to 8,099.68, 12,148.80 and 2,256.16

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Solution

The fourth proportional to 8,099.68, 12,148.80 and 2,256.16 is: 3,384.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,099.68 : 12,148.80 = 2,256.16 : x
  2. Step 2: Convert to fraction form
    8,099.68/12,148.80 = 2,256.16/x
  3. Step 3: Cross multiply
    8,099.68x = 12,148.80 × 2,256.16
  4. Step 4: Simplify right side
    8,099.68x = 27,409,636.61
  5. Step 5: Solve for x
    x = 27,409,636.61/8,099.68
  6. Step 6: Final answer
    x = 3,384.04

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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.