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Finding the Fourth Proportional to 5,648.64, 8,453.52 and 5,519.04

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Solution

The fourth proportional to 5,648.64, 8,453.52 and 5,519.04 is: 8,259.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,648.64 : 8,453.52 = 5,519.04 : x
  2. Step 2: Convert to fraction form
    5,648.64/8,453.52 = 5,519.04/x
  3. Step 3: Cross multiply
    5,648.64x = 8,453.52 × 5,519.04
  4. Step 4: Simplify right side
    5,648.64x = 46,655,315.02
  5. Step 5: Solve for x
    x = 46,655,315.02/5,648.64
  6. Step 6: Final answer
    x = 8,259.57

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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.