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Finding the Fourth Proportional to 5,648.88, 8,473.46 and 5,509.56

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Solution

The fourth proportional to 5,648.88, 8,473.46 and 5,509.56 is: 8,264.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,648.88 : 8,473.46 = 5,509.56 : x
  2. Step 2: Convert to fraction form
    5,648.88/8,473.46 = 5,509.56/x
  3. Step 3: Cross multiply
    5,648.88x = 8,473.46 × 5,509.56
  4. Step 4: Simplify right side
    5,648.88x = 46,685,008.73
  5. Step 5: Solve for x
    x = 46,685,008.73/5,648.88
  6. Step 6: Final answer
    x = 8,264.47

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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.