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Finding the Fourth Proportional to 6,473.12, 9,700.16 and 2,770.07

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Solution

The fourth proportional to 6,473.12, 9,700.16 and 2,770.07 is: 4,151.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,473.12 : 9,700.16 = 2,770.07 : x
  2. Step 2: Convert to fraction form
    6,473.12/9,700.16 = 2,770.07/x
  3. Step 3: Cross multiply
    6,473.12x = 9,700.16 × 2,770.07
  4. Step 4: Simplify right side
    6,473.12x = 26,870,059.86
  5. Step 5: Solve for x
    x = 26,870,059.86/6,473.12
  6. Step 6: Final answer
    x = 4,151.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.