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Finding the Fourth Proportional to 7,795.71, 11,695.64 and 2,249.51

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Solution

The fourth proportional to 7,795.71, 11,695.64 and 2,249.51 is: 3,374.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,795.71 : 11,695.64 = 2,249.51 : x
  2. Step 2: Convert to fraction form
    7,795.71/11,695.64 = 2,249.51/x
  3. Step 3: Cross multiply
    7,795.71x = 11,695.64 × 2,249.51
  4. Step 4: Simplify right side
    7,795.71x = 26,309,389.41
  5. Step 5: Solve for x
    x = 26,309,389.41/7,795.71
  6. Step 6: Final answer
    x = 3,374.85

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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.