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Finding the Fourth Proportional to 9,763.77, 13,474.02 and 5,287.57

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Solution

The fourth proportional to 9,763.77, 13,474.02 and 5,287.57 is: 7,296.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,763.77 : 13,474.02 = 5,287.57 : x
  2. Step 2: Convert to fraction form
    9,763.77/13,474.02 = 5,287.57/x
  3. Step 3: Cross multiply
    9,763.77x = 13,474.02 × 5,287.57
  4. Step 4: Simplify right side
    9,763.77x = 71,244,823.93
  5. Step 5: Solve for x
    x = 71,244,823.93/9,763.77
  6. Step 6: Final answer
    x = 7,296.86

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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.