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Finding the Fourth Proportional to 9,761.87, 14,647.97 and 5,322.74

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Solution

The fourth proportional to 9,761.87, 14,647.97 and 5,322.74 is: 7,986.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,761.87 : 14,647.97 = 5,322.74 : x
  2. Step 2: Convert to fraction form
    9,761.87/14,647.97 = 5,322.74/x
  3. Step 3: Cross multiply
    9,761.87x = 14,647.97 × 5,322.74
  4. Step 4: Simplify right side
    9,761.87x = 77,967,275.90
  5. Step 5: Solve for x
    x = 77,967,275.90/9,761.87
  6. Step 6: Final answer
    x = 7,986.92

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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.