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Finding the Fourth Proportional to 9,809.44, 14,714.76 and 3,235.66

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Solution

The fourth proportional to 9,809.44, 14,714.76 and 3,235.66 is: 4,853.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,809.44 : 14,714.76 = 3,235.66 : x
  2. Step 2: Convert to fraction form
    9,809.44/14,714.76 = 3,235.66/x
  3. Step 3: Cross multiply
    9,809.44x = 14,714.76 × 3,235.66
  4. Step 4: Simplify right side
    9,809.44x = 47,611,960.34
  5. Step 5: Solve for x
    x = 47,611,960.34/9,809.44
  6. Step 6: Final answer
    x = 4,853.69

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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.