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Finding the Fourth Proportional to 7,503.24, 11,251.62 and 2,883

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Solution

The fourth proportional to 7,503.24, 11,251.62 and 2,883 is: 4,323.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,503.24 : 11,251.62 = 2,883 : x
  2. Step 2: Convert to fraction form
    7,503.24/11,251.62 = 2,883/x
  3. Step 3: Cross multiply
    7,503.24x = 11,251.62 × 2,883
  4. Step 4: Simplify right side
    7,503.24x = 32,438,420.46
  5. Step 5: Solve for x
    x = 32,438,420.46/7,503.24
  6. Step 6: Final answer
    x = 4,323.26

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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.