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Finding the Fourth Proportional to 9,712.44, 14,551.92 and 7,645.68

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Solution

The fourth proportional to 9,712.44, 14,551.92 and 7,645.68 is: 11,455.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,712.44 : 14,551.92 = 7,645.68 : x
  2. Step 2: Convert to fraction form
    9,712.44/14,551.92 = 7,645.68/x
  3. Step 3: Cross multiply
    9,712.44x = 14,551.92 × 7,645.68
  4. Step 4: Simplify right side
    9,712.44x = 111,259,323.71
  5. Step 5: Solve for x
    x = 111,259,323.71/9,712.44
  6. Step 6: Final answer
    x = 11,455.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.