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Finding the Fourth Proportional to 6,980.84, 9,633.50 and 3,837.08

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Solution

The fourth proportional to 6,980.84, 9,633.50 and 3,837.08 is: 5,295.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,980.84 : 9,633.50 = 3,837.08 : x
  2. Step 2: Convert to fraction form
    6,980.84/9,633.50 = 3,837.08/x
  3. Step 3: Cross multiply
    6,980.84x = 9,633.50 × 3,837.08
  4. Step 4: Simplify right side
    6,980.84x = 36,964,510.18
  5. Step 5: Solve for x
    x = 36,964,510.18/6,980.84
  6. Step 6: Final answer
    x = 5,295.14

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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.