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Finding the Fourth Proportional to 6,315.86, 8,714.13 and 3,662.74

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Solution

The fourth proportional to 6,315.86, 8,714.13 and 3,662.74 is: 5,053.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,315.86 : 8,714.13 = 3,662.74 : x
  2. Step 2: Convert to fraction form
    6,315.86/8,714.13 = 3,662.74/x
  3. Step 3: Cross multiply
    6,315.86x = 8,714.13 × 3,662.74
  4. Step 4: Simplify right side
    6,315.86x = 31,917,592.52
  5. Step 5: Solve for x
    x = 31,917,592.52/6,315.86
  6. Step 6: Final answer
    x = 5,053.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.