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Finding the Fourth Proportional to 6,687.84, 9,236.07 and 5,094.48

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Solution

The fourth proportional to 6,687.84, 9,236.07 and 5,094.48 is: 7,035.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,687.84 : 9,236.07 = 5,094.48 : x
  2. Step 2: Convert to fraction form
    6,687.84/9,236.07 = 5,094.48/x
  3. Step 3: Cross multiply
    6,687.84x = 9,236.07 × 5,094.48
  4. Step 4: Simplify right side
    6,687.84x = 47,052,973.89
  5. Step 5: Solve for x
    x = 47,052,973.89/6,687.84
  6. Step 6: Final answer
    x = 7,035.60

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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.