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Finding the Fourth Proportional to 4,562.16, 6,839.23 and 1,600.12

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Solution

The fourth proportional to 4,562.16, 6,839.23 and 1,600.12 is: 2,398.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,562.16 : 6,839.23 = 1,600.12 : x
  2. Step 2: Convert to fraction form
    4,562.16/6,839.23 = 1,600.12/x
  3. Step 3: Cross multiply
    4,562.16x = 6,839.23 × 1,600.12
  4. Step 4: Simplify right side
    4,562.16x = 10,943,588.71
  5. Step 5: Solve for x
    x = 10,943,588.71/4,562.16
  6. Step 6: Final answer
    x = 2,398.77

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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.