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Finding the Fourth Proportional to 7,882.77, 11,825.30 and 2,335.40

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Solution

The fourth proportional to 7,882.77, 11,825.30 and 2,335.40 is: 3,503.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,882.77 : 11,825.30 = 2,335.40 : x
  2. Step 2: Convert to fraction form
    7,882.77/11,825.30 = 2,335.40/x
  3. Step 3: Cross multiply
    7,882.77x = 11,825.30 × 2,335.40
  4. Step 4: Simplify right side
    7,882.77x = 27,616,752.33
  5. Step 5: Solve for x
    x = 27,616,752.33/7,882.77
  6. Step 6: Final answer
    x = 3,503.43

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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.