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Finding the Fourth Proportional to 7,084.36, 9,770.92 and 4,566.88

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Solution

The fourth proportional to 7,084.36, 9,770.92 and 4,566.88 is: 6,298.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,084.36 : 9,770.92 = 4,566.88 : x
  2. Step 2: Convert to fraction form
    7,084.36/9,770.92 = 4,566.88/x
  3. Step 3: Cross multiply
    7,084.36x = 9,770.92 × 4,566.88
  4. Step 4: Simplify right side
    7,084.36x = 44,622,619.13
  5. Step 5: Solve for x
    x = 44,622,619.13/7,084.36
  6. Step 6: Final answer
    x = 6,298.75

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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.