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Finding the Fourth Proportional to 6,585.77, 9,882 and 3,814.97

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Solution

The fourth proportional to 6,585.77, 9,882 and 3,814.97 is: 5,724.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,585.77 : 9,882 = 3,814.97 : x
  2. Step 2: Convert to fraction form
    6,585.77/9,882 = 3,814.97/x
  3. Step 3: Cross multiply
    6,585.77x = 9,882 × 3,814.97
  4. Step 4: Simplify right side
    6,585.77x = 37,699,484.13
  5. Step 5: Solve for x
    x = 37,699,484.13/6,585.77
  6. Step 6: Final answer
    x = 5,724.38

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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.