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Finding the Fourth Proportional to 6,191.84, 9,287.58 and 2,297

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Solution

The fourth proportional to 6,191.84, 9,287.58 and 2,297 is: 3,445.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,191.84 : 9,287.58 = 2,297 : x
  2. Step 2: Convert to fraction form
    6,191.84/9,287.58 = 2,297/x
  3. Step 3: Cross multiply
    6,191.84x = 9,287.58 × 2,297
  4. Step 4: Simplify right side
    6,191.84x = 21,333,571.26
  5. Step 5: Solve for x
    x = 21,333,571.26/6,191.84
  6. Step 6: Final answer
    x = 3,445.43

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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.