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Finding the Fourth Proportional to 6,343.84, 9,469.13 and 5,898.16

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Solution

The fourth proportional to 6,343.84, 9,469.13 and 5,898.16 is: 8,803.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,343.84 : 9,469.13 = 5,898.16 : x
  2. Step 2: Convert to fraction form
    6,343.84/9,469.13 = 5,898.16/x
  3. Step 3: Cross multiply
    6,343.84x = 9,469.13 × 5,898.16
  4. Step 4: Simplify right side
    6,343.84x = 55,850,443.80
  5. Step 5: Solve for x
    x = 55,850,443.80/6,343.84
  6. Step 6: Final answer
    x = 8,803.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.