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Finding the Fourth Proportional to 4,988.49, 7,423.84 and 4,822.38

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Solution

The fourth proportional to 4,988.49, 7,423.84 and 4,822.38 is: 7,176.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,988.49 : 7,423.84 = 4,822.38 : x
  2. Step 2: Convert to fraction form
    4,988.49/7,423.84 = 4,822.38/x
  3. Step 3: Cross multiply
    4,988.49x = 7,423.84 × 4,822.38
  4. Step 4: Simplify right side
    4,988.49x = 35,800,553.43
  5. Step 5: Solve for x
    x = 35,800,553.43/4,988.49
  6. Step 6: Final answer
    x = 7,176.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.