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Finding the Fourth Proportional to 4,632.67, 6,952.89 and 4,340.74

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Solution

The fourth proportional to 4,632.67, 6,952.89 and 4,340.74 is: 6,514.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,632.67 : 6,952.89 = 4,340.74 : x
  2. Step 2: Convert to fraction form
    4,632.67/6,952.89 = 4,340.74/x
  3. Step 3: Cross multiply
    4,632.67x = 6,952.89 × 4,340.74
  4. Step 4: Simplify right side
    4,632.67x = 30,180,687.74
  5. Step 5: Solve for x
    x = 30,180,687.74/4,632.67
  6. Step 6: Final answer
    x = 6,514.75

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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.