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Finding the Fourth Proportional to 6,985.84, 9,640.38 and 3,842.14

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Solution

The fourth proportional to 6,985.84, 9,640.38 and 3,842.14 is: 5,302.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,985.84 : 9,640.38 = 3,842.14 : x
  2. Step 2: Convert to fraction form
    6,985.84/9,640.38 = 3,842.14/x
  3. Step 3: Cross multiply
    6,985.84x = 9,640.38 × 3,842.14
  4. Step 4: Simplify right side
    6,985.84x = 37,039,689.61
  5. Step 5: Solve for x
    x = 37,039,689.61/6,985.84
  6. Step 6: Final answer
    x = 5,302.11

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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.