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Finding the Fourth Proportional to 6,524.51, 9,782.10 and 3,885.80

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Solution

The fourth proportional to 6,524.51, 9,782.10 and 3,885.80 is: 5,825.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,524.51 : 9,782.10 = 3,885.80 : x
  2. Step 2: Convert to fraction form
    6,524.51/9,782.10 = 3,885.80/x
  3. Step 3: Cross multiply
    6,524.51x = 9,782.10 × 3,885.80
  4. Step 4: Simplify right side
    6,524.51x = 38,011,235.27
  5. Step 5: Solve for x
    x = 38,011,235.27/6,524.51
  6. Step 6: Final answer
    x = 5,825.92

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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.