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Finding the Fourth Proportional to 6,315, 9,471.86 and 2,805.10

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Solution

The fourth proportional to 6,315, 9,471.86 and 2,805.10 is: 4,207.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,315 : 9,471.86 = 2,805.10 : x
  2. Step 2: Convert to fraction form
    6,315/9,471.86 = 2,805.10/x
  3. Step 3: Cross multiply
    6,315x = 9,471.86 × 2,805.10
  4. Step 4: Simplify right side
    6,315x = 26,569,514.49
  5. Step 5: Solve for x
    x = 26,569,514.49/6,315
  6. Step 6: Final answer
    x = 4,207.37

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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.