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Finding the Fourth Proportional to 8,584.80, 11,873.10 and 7,700.28

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Solution

The fourth proportional to 8,584.80, 11,873.10 and 7,700.28 is: 10,649.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,584.80 : 11,873.10 = 7,700.28 : x
  2. Step 2: Convert to fraction form
    8,584.80/11,873.10 = 7,700.28/x
  3. Step 3: Cross multiply
    8,584.80x = 11,873.10 × 7,700.28
  4. Step 4: Simplify right side
    8,584.80x = 91,426,194.47
  5. Step 5: Solve for x
    x = 91,426,194.47/8,584.80
  6. Step 6: Final answer
    x = 10,649.78

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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.