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Finding the Fourth Proportional to 9,739.58, 13,446.78 and 7,497.24

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Solution

The fourth proportional to 9,739.58, 13,446.78 and 7,497.24 is: 10,350.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,739.58 : 13,446.78 = 7,497.24 : x
  2. Step 2: Convert to fraction form
    9,739.58/13,446.78 = 7,497.24/x
  3. Step 3: Cross multiply
    9,739.58x = 13,446.78 × 7,497.24
  4. Step 4: Simplify right side
    9,739.58x = 100,813,736.89
  5. Step 5: Solve for x
    x = 100,813,736.89/9,739.58
  6. Step 6: Final answer
    x = 10,350.93

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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.