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Finding the Fourth Proportional to 9,754.96, 13,446.08 and 7,626.72

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Solution

The fourth proportional to 9,754.96, 13,446.08 and 7,626.72 is: 10,512.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,754.96 : 13,446.08 = 7,626.72 : x
  2. Step 2: Convert to fraction form
    9,754.96/13,446.08 = 7,626.72/x
  3. Step 3: Cross multiply
    9,754.96x = 13,446.08 × 7,626.72
  4. Step 4: Simplify right side
    9,754.96x = 102,549,487.26
  5. Step 5: Solve for x
    x = 102,549,487.26/9,754.96
  6. Step 6: Final answer
    x = 10,512.55

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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.