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Finding the Fourth Proportional to 9,274.30, 13,895.25 and 7,724.26

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Solution

The fourth proportional to 9,274.30, 13,895.25 and 7,724.26 is: 11,572.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,274.30 : 13,895.25 = 7,724.26 : x
  2. Step 2: Convert to fraction form
    9,274.30/13,895.25 = 7,724.26/x
  3. Step 3: Cross multiply
    9,274.30x = 13,895.25 × 7,724.26
  4. Step 4: Simplify right side
    9,274.30x = 107,330,512.17
  5. Step 5: Solve for x
    x = 107,330,512.17/9,274.30
  6. Step 6: Final answer
    x = 11,572.90

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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.