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Finding the Fourth Proportional to 7,138.92, 10,709.82 and 2,525.16

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Solution

The fourth proportional to 7,138.92, 10,709.82 and 2,525.16 is: 3,788.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,138.92 : 10,709.82 = 2,525.16 : x
  2. Step 2: Convert to fraction form
    7,138.92/10,709.82 = 2,525.16/x
  3. Step 3: Cross multiply
    7,138.92x = 10,709.82 × 2,525.16
  4. Step 4: Simplify right side
    7,138.92x = 27,044,009.07
  5. Step 5: Solve for x
    x = 27,044,009.07/7,138.92
  6. Step 6: Final answer
    x = 3,788.25

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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.