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Finding the Fourth Proportional to 4,952.12, 6,834.32 and 4,065.44

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Solution

The fourth proportional to 4,952.12, 6,834.32 and 4,065.44 is: 5,610.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,952.12 : 6,834.32 = 4,065.44 : x
  2. Step 2: Convert to fraction form
    4,952.12/6,834.32 = 4,065.44/x
  3. Step 3: Cross multiply
    4,952.12x = 6,834.32 × 4,065.44
  4. Step 4: Simplify right side
    4,952.12x = 27,784,463.40
  5. Step 5: Solve for x
    x = 27,784,463.40/4,952.12
  6. Step 6: Final answer
    x = 5,610.63

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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.