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Finding the Fourth Proportional to 9,744, 13,448.88 and 6,723.36

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Solution

The fourth proportional to 9,744, 13,448.88 and 6,723.36 is: 9,279.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,744 : 13,448.88 = 6,723.36 : x
  2. Step 2: Convert to fraction form
    9,744/13,448.88 = 6,723.36/x
  3. Step 3: Cross multiply
    9,744x = 13,448.88 × 6,723.36
  4. Step 4: Simplify right side
    9,744x = 90,421,661.84
  5. Step 5: Solve for x
    x = 90,421,661.84/9,744
  6. Step 6: Final answer
    x = 9,279.73

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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.