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Finding the Fourth Proportional to 8,596, 11,866.80 and 8,077.60

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Solution

The fourth proportional to 8,596, 11,866.80 and 8,077.60 is: 11,151.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,596 : 11,866.80 = 8,077.60 : x
  2. Step 2: Convert to fraction form
    8,596/11,866.80 = 8,077.60/x
  3. Step 3: Cross multiply
    8,596x = 11,866.80 × 8,077.60
  4. Step 4: Simplify right side
    8,596x = 95,855,263.68
  5. Step 5: Solve for x
    x = 95,855,263.68/8,596
  6. Step 6: Final answer
    x = 11,151.15

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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.