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Finding the Fourth Proportional to 4,772.97, 7,153.65 and 1,998.18

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Solution

The fourth proportional to 4,772.97, 7,153.65 and 1,998.18 is: 2,994.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,772.97 : 7,153.65 = 1,998.18 : x
  2. Step 2: Convert to fraction form
    4,772.97/7,153.65 = 1,998.18/x
  3. Step 3: Cross multiply
    4,772.97x = 7,153.65 × 1,998.18
  4. Step 4: Simplify right side
    4,772.97x = 14,294,280.36
  5. Step 5: Solve for x
    x = 14,294,280.36/4,772.97
  6. Step 6: Final answer
    x = 2,994.84

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Double scale
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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.