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Finding the Fourth Proportional to 6,531.84, 9,782.64 and 5,234.40

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Solution

The fourth proportional to 6,531.84, 9,782.64 and 5,234.40 is: 7,839.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,531.84 : 9,782.64 = 5,234.40 : x
  2. Step 2: Convert to fraction form
    6,531.84/9,782.64 = 5,234.40/x
  3. Step 3: Cross multiply
    6,531.84x = 9,782.64 × 5,234.40
  4. Step 4: Simplify right side
    6,531.84x = 51,206,250.82
  5. Step 5: Solve for x
    x = 51,206,250.82/6,531.84
  6. Step 6: Final answer
    x = 7,839.48

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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.