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Finding the Fourth Proportional to 9,714.46, 14,570.13 and 3,473.31

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Solution

The fourth proportional to 9,714.46, 14,570.13 and 3,473.31 is: 5,209.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,714.46 : 14,570.13 = 3,473.31 : x
  2. Step 2: Convert to fraction form
    9,714.46/14,570.13 = 3,473.31/x
  3. Step 3: Cross multiply
    9,714.46x = 14,570.13 × 3,473.31
  4. Step 4: Simplify right side
    9,714.46x = 50,606,536.62
  5. Step 5: Solve for x
    x = 50,606,536.62/9,714.46
  6. Step 6: Final answer
    x = 5,209.40

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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.