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Finding the Fourth Proportional to 9,274.80, 12,800.34 and 5,297.16

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Solution

The fourth proportional to 9,274.80, 12,800.34 and 5,297.16 is: 7,310.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,274.80 : 12,800.34 = 5,297.16 : x
  2. Step 2: Convert to fraction form
    9,274.80/12,800.34 = 5,297.16/x
  3. Step 3: Cross multiply
    9,274.80x = 12,800.34 × 5,297.16
  4. Step 4: Simplify right side
    9,274.80x = 67,805,449.03
  5. Step 5: Solve for x
    x = 67,805,449.03/9,274.80
  6. Step 6: Final answer
    x = 7,310.72

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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.