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Finding the Fourth Proportional to 6,314.92, 8,714.70 and 3,482.62

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Solution

The fourth proportional to 6,314.92, 8,714.70 and 3,482.62 is: 4,806.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314.92 : 8,714.70 = 3,482.62 : x
  2. Step 2: Convert to fraction form
    6,314.92/8,714.70 = 3,482.62/x
  3. Step 3: Cross multiply
    6,314.92x = 8,714.70 × 3,482.62
  4. Step 4: Simplify right side
    6,314.92x = 30,349,988.51
  5. Step 5: Solve for x
    x = 30,349,988.51/6,314.92
  6. Step 6: Final answer
    x = 4,806.08

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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.