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Finding the Fourth Proportional to 6,966.52, 9,608.42 and 4,842.02

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Solution

The fourth proportional to 6,966.52, 9,608.42 and 4,842.02 is: 6,678.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,966.52 : 9,608.42 = 4,842.02 : x
  2. Step 2: Convert to fraction form
    6,966.52/9,608.42 = 4,842.02/x
  3. Step 3: Cross multiply
    6,966.52x = 9,608.42 × 4,842.02
  4. Step 4: Simplify right side
    6,966.52x = 46,524,161.81
  5. Step 5: Solve for x
    x = 46,524,161.81/6,966.52
  6. Step 6: Final answer
    x = 6,678.25

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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.