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Finding the Fourth Proportional to 4,498.84, 6,748.03 and 1,576.92

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Solution

The fourth proportional to 4,498.84, 6,748.03 and 1,576.92 is: 2,365.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,498.84 : 6,748.03 = 1,576.92 : x
  2. Step 2: Convert to fraction form
    4,498.84/6,748.03 = 1,576.92/x
  3. Step 3: Cross multiply
    4,498.84x = 6,748.03 × 1,576.92
  4. Step 4: Simplify right side
    4,498.84x = 10,641,103.47
  5. Step 5: Solve for x
    x = 10,641,103.47/4,498.84
  6. Step 6: Final answer
    x = 2,365.30

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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.