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Finding the Fourth Proportional to 4,649.92, 6,977.58 and 1,532.20

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Solution

The fourth proportional to 4,649.92, 6,977.58 and 1,532.20 is: 2,299.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,649.92 : 6,977.58 = 1,532.20 : x
  2. Step 2: Convert to fraction form
    4,649.92/6,977.58 = 1,532.20/x
  3. Step 3: Cross multiply
    4,649.92x = 6,977.58 × 1,532.20
  4. Step 4: Simplify right side
    4,649.92x = 10,691,048.08
  5. Step 5: Solve for x
    x = 10,691,048.08/4,649.92
  6. Step 6: Final answer
    x = 2,299.19

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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.