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Finding the Fourth Proportional to 7,571.62, 10,447.23 and 4,775.50

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Solution

The fourth proportional to 7,571.62, 10,447.23 and 4,775.50 is: 6,589.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,571.62 : 10,447.23 = 4,775.50 : x
  2. Step 2: Convert to fraction form
    7,571.62/10,447.23 = 4,775.50/x
  3. Step 3: Cross multiply
    7,571.62x = 10,447.23 × 4,775.50
  4. Step 4: Simplify right side
    7,571.62x = 49,890,746.87
  5. Step 5: Solve for x
    x = 49,890,746.87/7,571.62
  6. Step 6: Final answer
    x = 6,589.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.