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Finding the Fourth Proportional to 11,714.50, 17,574.18 and 4,789

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Solution

The fourth proportional to 11,714.50, 17,574.18 and 4,789 is: 7,184.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,714.50 : 17,574.18 = 4,789 : x
  2. Step 2: Convert to fraction form
    11,714.50/17,574.18 = 4,789/x
  3. Step 3: Cross multiply
    11,714.50x = 17,574.18 × 4,789
  4. Step 4: Simplify right side
    11,714.50x = 84,162,748.02
  5. Step 5: Solve for x
    x = 84,162,748.02/11,714.50
  6. Step 6: Final answer
    x = 7,184.49

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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.