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Finding the Fourth Proportional to 9,812.87, 14,714.34 and 3,236.88

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Solution

The fourth proportional to 9,812.87, 14,714.34 and 3,236.88 is: 4,853.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,812.87 : 14,714.34 = 3,236.88 : x
  2. Step 2: Convert to fraction form
    9,812.87/14,714.34 = 3,236.88/x
  3. Step 3: Cross multiply
    9,812.87x = 14,714.34 × 3,236.88
  4. Step 4: Simplify right side
    9,812.87x = 47,628,552.86
  5. Step 5: Solve for x
    x = 47,628,552.86/9,812.87
  6. Step 6: Final answer
    x = 4,853.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.