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Finding the Fourth Proportional to 6,842.84, 9,443.12 and 3,699.02

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Solution

The fourth proportional to 6,842.84, 9,443.12 and 3,699.02 is: 5,104.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,842.84 : 9,443.12 = 3,699.02 : x
  2. Step 2: Convert to fraction form
    6,842.84/9,443.12 = 3,699.02/x
  3. Step 3: Cross multiply
    6,842.84x = 9,443.12 × 3,699.02
  4. Step 4: Simplify right side
    6,842.84x = 34,930,322.60
  5. Step 5: Solve for x
    x = 34,930,322.60/6,842.84
  6. Step 6: Final answer
    x = 5,104.66

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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.