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Finding the Fourth Proportional to 6,178.81, 9,316.68 and 5,662.13

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Solution

The fourth proportional to 6,178.81, 9,316.68 and 5,662.13 is: 8,537.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,178.81 : 9,316.68 = 5,662.13 : x
  2. Step 2: Convert to fraction form
    6,178.81/9,316.68 = 5,662.13/x
  3. Step 3: Cross multiply
    6,178.81x = 9,316.68 × 5,662.13
  4. Step 4: Simplify right side
    6,178.81x = 52,752,251.53
  5. Step 5: Solve for x
    x = 52,752,251.53/6,178.81
  6. Step 6: Final answer
    x = 8,537.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.