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Finding the Fourth Proportional to 9,175.68, 13,772.16 and 6,099.84

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Solution

The fourth proportional to 9,175.68, 13,772.16 and 6,099.84 is: 9,155.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,175.68 : 13,772.16 = 6,099.84 : x
  2. Step 2: Convert to fraction form
    9,175.68/13,772.16 = 6,099.84/x
  3. Step 3: Cross multiply
    9,175.68x = 13,772.16 × 6,099.84
  4. Step 4: Simplify right side
    9,175.68x = 84,007,972.45
  5. Step 5: Solve for x
    x = 84,007,972.45/9,175.68
  6. Step 6: Final answer
    x = 9,155.50

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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.