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Finding the Fourth Proportional to 5,678.73, 8,506.71 and 4,510.71

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Solution

The fourth proportional to 5,678.73, 8,506.71 and 4,510.71 is: 6,757.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,678.73 : 8,506.71 = 4,510.71 : x
  2. Step 2: Convert to fraction form
    5,678.73/8,506.71 = 4,510.71/x
  3. Step 3: Cross multiply
    5,678.73x = 8,506.71 × 4,510.71
  4. Step 4: Simplify right side
    5,678.73x = 38,371,301.86
  5. Step 5: Solve for x
    x = 38,371,301.86/5,678.73
  6. Step 6: Final answer
    x = 6,757.02

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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.