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Finding the Fourth Proportional to 7,219.52, 9,963.10 and 4,237.50

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Solution

The fourth proportional to 7,219.52, 9,963.10 and 4,237.50 is: 5,847.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,219.52 : 9,963.10 = 4,237.50 : x
  2. Step 2: Convert to fraction form
    7,219.52/9,963.10 = 4,237.50/x
  3. Step 3: Cross multiply
    7,219.52x = 9,963.10 × 4,237.50
  4. Step 4: Simplify right side
    7,219.52x = 42,218,636.25
  5. Step 5: Solve for x
    x = 42,218,636.25/7,219.52
  6. Step 6: Final answer
    x = 5,847.85

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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.