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Finding the Fourth Proportional to 6,810.84, 9,398.46 and 3,827.18

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Solution

The fourth proportional to 6,810.84, 9,398.46 and 3,827.18 is: 5,281.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,810.84 : 9,398.46 = 3,827.18 : x
  2. Step 2: Convert to fraction form
    6,810.84/9,398.46 = 3,827.18/x
  3. Step 3: Cross multiply
    6,810.84x = 9,398.46 × 3,827.18
  4. Step 4: Simplify right side
    6,810.84x = 35,969,598.14
  5. Step 5: Solve for x
    x = 35,969,598.14/6,810.84
  6. Step 6: Final answer
    x = 5,281.23

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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.