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Finding the Fourth Proportional to 8,596.73, 11,869.34 and 7,700.06

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Solution

The fourth proportional to 8,596.73, 11,869.34 and 7,700.06 is: 10,631.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,596.73 : 11,869.34 = 7,700.06 : x
  2. Step 2: Convert to fraction form
    8,596.73/11,869.34 = 7,700.06/x
  3. Step 3: Cross multiply
    8,596.73x = 11,869.34 × 7,700.06
  4. Step 4: Simplify right side
    8,596.73x = 91,394,532.31
  5. Step 5: Solve for x
    x = 91,394,532.31/8,596.73
  6. Step 6: Final answer
    x = 10,631.32

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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.