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Finding the Fourth Proportional to 9,624.39, 13,294.41 and 7,743.06

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Solution

The fourth proportional to 9,624.39, 13,294.41 and 7,743.06 is: 10,695.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,624.39 : 13,294.41 = 7,743.06 : x
  2. Step 2: Convert to fraction form
    9,624.39/13,294.41 = 7,743.06/x
  3. Step 3: Cross multiply
    9,624.39x = 13,294.41 × 7,743.06
  4. Step 4: Simplify right side
    9,624.39x = 102,939,375.58
  5. Step 5: Solve for x
    x = 102,939,375.58/9,624.39
  6. Step 6: Final answer
    x = 10,695.68

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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.