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Finding the Fourth Proportional to 7,773.30, 11,701.94 and 7,084.40

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Solution

The fourth proportional to 7,773.30, 11,701.94 and 7,084.40 is: 10,664.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,773.30 : 11,701.94 = 7,084.40 : x
  2. Step 2: Convert to fraction form
    7,773.30/11,701.94 = 7,084.40/x
  3. Step 3: Cross multiply
    7,773.30x = 11,701.94 × 7,084.40
  4. Step 4: Simplify right side
    7,773.30x = 82,901,129.80
  5. Step 5: Solve for x
    x = 82,901,129.80/7,773.30
  6. Step 6: Final answer
    x = 10,664.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.