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Finding the Fourth Proportional to 7,714.78, 10,646.41 and 4,178

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Solution

The fourth proportional to 7,714.78, 10,646.41 and 4,178 is: 5,765.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,714.78 : 10,646.41 = 4,178 : x
  2. Step 2: Convert to fraction form
    7,714.78/10,646.41 = 4,178/x
  3. Step 3: Cross multiply
    7,714.78x = 10,646.41 × 4,178
  4. Step 4: Simplify right side
    7,714.78x = 44,480,700.98
  5. Step 5: Solve for x
    x = 44,480,700.98/7,714.78
  6. Step 6: Final answer
    x = 5,765.65

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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.