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Finding the Fourth Proportional to 7,084.88, 9,776.74 and 3,898.12

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Solution

The fourth proportional to 7,084.88, 9,776.74 and 3,898.12 is: 5,379.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,084.88 : 9,776.74 = 3,898.12 : x
  2. Step 2: Convert to fraction form
    7,084.88/9,776.74 = 3,898.12/x
  3. Step 3: Cross multiply
    7,084.88x = 9,776.74 × 3,898.12
  4. Step 4: Simplify right side
    7,084.88x = 38,110,905.73
  5. Step 5: Solve for x
    x = 38,110,905.73/7,084.88
  6. Step 6: Final answer
    x = 5,379.19

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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.