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Finding the Fourth Proportional to 27,868.14, 41,802.05 and 6,808.30

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Solution

The fourth proportional to 27,868.14, 41,802.05 and 6,808.30 is: 10,212.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,868.14 : 41,802.05 = 6,808.30 : x
  2. Step 2: Convert to fraction form
    27,868.14/41,802.05 = 6,808.30/x
  3. Step 3: Cross multiply
    27,868.14x = 41,802.05 × 6,808.30
  4. Step 4: Simplify right side
    27,868.14x = 284,600,809.53
  5. Step 5: Solve for x
    x = 284,600,809.53/27,868.14
  6. Step 6: Final answer
    x = 10,212.41

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1.5x scale

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.