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Finding the Fourth Proportional to 7,714.91, 10,649.37 and 5,063.18

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Solution

The fourth proportional to 7,714.91, 10,649.37 and 5,063.18 is: 6,989.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,714.91 : 10,649.37 = 5,063.18 : x
  2. Step 2: Convert to fraction form
    7,714.91/10,649.37 = 5,063.18/x
  3. Step 3: Cross multiply
    7,714.91x = 10,649.37 × 5,063.18
  4. Step 4: Simplify right side
    7,714.91x = 53,919,623.95
  5. Step 5: Solve for x
    x = 53,919,623.95/7,714.91
  6. Step 6: Final answer
    x = 6,989.02

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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.