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Finding the Fourth Proportional to 6,541.86, 9,814.41 and 2,843.13

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Solution

The fourth proportional to 6,541.86, 9,814.41 and 2,843.13 is: 4,265.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,541.86 : 9,814.41 = 2,843.13 : x
  2. Step 2: Convert to fraction form
    6,541.86/9,814.41 = 2,843.13/x
  3. Step 3: Cross multiply
    6,541.86x = 9,814.41 × 2,843.13
  4. Step 4: Simplify right side
    6,541.86x = 27,903,643.50
  5. Step 5: Solve for x
    x = 27,903,643.50/6,541.86
  6. Step 6: Final answer
    x = 4,265.40

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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.