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Finding the Fourth Proportional to 8,825.82, 12,178.80 and 5,048.22

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Solution

The fourth proportional to 8,825.82, 12,178.80 and 5,048.22 is: 6,966.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,825.82 : 12,178.80 = 5,048.22 : x
  2. Step 2: Convert to fraction form
    8,825.82/12,178.80 = 5,048.22/x
  3. Step 3: Cross multiply
    8,825.82x = 12,178.80 × 5,048.22
  4. Step 4: Simplify right side
    8,825.82x = 61,481,261.74
  5. Step 5: Solve for x
    x = 61,481,261.74/8,825.82
  6. Step 6: Final answer
    x = 6,966.07

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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.