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Finding the Fourth Proportional to 7,177.68, 9,902.79 and 4,662.90

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Solution

The fourth proportional to 7,177.68, 9,902.79 and 4,662.90 is: 6,433.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,177.68 : 9,902.79 = 4,662.90 : x
  2. Step 2: Convert to fraction form
    7,177.68/9,902.79 = 4,662.90/x
  3. Step 3: Cross multiply
    7,177.68x = 9,902.79 × 4,662.90
  4. Step 4: Simplify right side
    7,177.68x = 46,175,719.49
  5. Step 5: Solve for x
    x = 46,175,719.49/7,177.68
  6. Step 6: Final answer
    x = 6,433.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.