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Finding the Fourth Proportional to 7,823.58, 10,773.79 and 7,323.31

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Solution

The fourth proportional to 7,823.58, 10,773.79 and 7,323.31 is: 10,084.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,823.58 : 10,773.79 = 7,323.31 : x
  2. Step 2: Convert to fraction form
    7,823.58/10,773.79 = 7,323.31/x
  3. Step 3: Cross multiply
    7,823.58x = 10,773.79 × 7,323.31
  4. Step 4: Simplify right side
    7,823.58x = 78,899,750.18
  5. Step 5: Solve for x
    x = 78,899,750.18/7,823.58
  6. Step 6: Final answer
    x = 10,084.87

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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.