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Finding the Fourth Proportional to 6,314.92, 8,714.65 and 3,482.40

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Solution

The fourth proportional to 6,314.92, 8,714.65 and 3,482.40 is: 4,805.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314.92 : 8,714.65 = 3,482.40 : x
  2. Step 2: Convert to fraction form
    6,314.92/8,714.65 = 3,482.40/x
  3. Step 3: Cross multiply
    6,314.92x = 8,714.65 × 3,482.40
  4. Step 4: Simplify right side
    6,314.92x = 30,347,897.16
  5. Step 5: Solve for x
    x = 30,347,897.16/6,314.92
  6. Step 6: Final answer
    x = 4,805.75

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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.