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Finding the Fourth Proportional to 6,314.99, 8,714.74 and 3,482.46

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Solution

The fourth proportional to 6,314.99, 8,714.74 and 3,482.46 is: 4,805.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314.99 : 8,714.74 = 3,482.46 : x
  2. Step 2: Convert to fraction form
    6,314.99/8,714.74 = 3,482.46/x
  3. Step 3: Cross multiply
    6,314.99x = 8,714.74 × 3,482.46
  4. Step 4: Simplify right side
    6,314.99x = 30,348,737.01
  5. Step 5: Solve for x
    x = 30,348,737.01/6,314.99
  6. Step 6: Final answer
    x = 4,805.83

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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.