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Finding the Fourth Proportional to 7,084.58, 9,770.76 and 5,968.13

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Solution

The fourth proportional to 7,084.58, 9,770.76 and 5,968.13 is: 8,231.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,084.58 : 9,770.76 = 5,968.13 : x
  2. Step 2: Convert to fraction form
    7,084.58/9,770.76 = 5,968.13/x
  3. Step 3: Cross multiply
    7,084.58x = 9,770.76 × 5,968.13
  4. Step 4: Simplify right side
    7,084.58x = 58,313,117.03
  5. Step 5: Solve for x
    x = 58,313,117.03/7,084.58
  6. Step 6: Final answer
    x = 8,231.00

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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.