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Finding the Fourth Proportional to 8,227.76, 12,368.36 and 6,602.09

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Solution

The fourth proportional to 8,227.76, 12,368.36 and 6,602.09 is: 9,924.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,227.76 : 12,368.36 = 6,602.09 : x
  2. Step 2: Convert to fraction form
    8,227.76/12,368.36 = 6,602.09/x
  3. Step 3: Cross multiply
    8,227.76x = 12,368.36 × 6,602.09
  4. Step 4: Simplify right side
    8,227.76x = 81,656,980.54
  5. Step 5: Solve for x
    x = 81,656,980.54/8,227.76
  6. Step 6: Final answer
    x = 9,924.58

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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.