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Finding the Fourth Proportional to 9,235.74, 12,744.16 and 5,256.93

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Solution

The fourth proportional to 9,235.74, 12,744.16 and 5,256.93 is: 7,253.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,235.74 : 12,744.16 = 5,256.93 : x
  2. Step 2: Convert to fraction form
    9,235.74/12,744.16 = 5,256.93/x
  3. Step 3: Cross multiply
    9,235.74x = 12,744.16 × 5,256.93
  4. Step 4: Simplify right side
    9,235.74x = 66,995,157.03
  5. Step 5: Solve for x
    x = 66,995,157.03/9,235.74
  6. Step 6: Final answer
    x = 7,253.90

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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.