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Finding the Fourth Proportional to 4,098.79, 6,146.79 and 1,632.94

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Solution

The fourth proportional to 4,098.79, 6,146.79 and 1,632.94 is: 2,448.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,098.79 : 6,146.79 = 1,632.94 : x
  2. Step 2: Convert to fraction form
    4,098.79/6,146.79 = 1,632.94/x
  3. Step 3: Cross multiply
    4,098.79x = 6,146.79 × 1,632.94
  4. Step 4: Simplify right side
    4,098.79x = 10,037,339.26
  5. Step 5: Solve for x
    x = 10,037,339.26/4,098.79
  6. Step 6: Final answer
    x = 2,448.85

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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.