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Finding the Fourth Proportional to 4,649.61, 6,974.80 and 1,487.50

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Solution

The fourth proportional to 4,649.61, 6,974.80 and 1,487.50 is: 2,231.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,649.61 : 6,974.80 = 1,487.50 : x
  2. Step 2: Convert to fraction form
    4,649.61/6,974.80 = 1,487.50/x
  3. Step 3: Cross multiply
    4,649.61x = 6,974.80 × 1,487.50
  4. Step 4: Simplify right side
    4,649.61x = 10,375,015
  5. Step 5: Solve for x
    x = 10,375,015/4,649.61
  6. Step 6: Final answer
    x = 2,231.37

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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.