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Finding the Fourth Proportional to 6,714.82, 10,004.75 and 6,337.56

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Solution

The fourth proportional to 6,714.82, 10,004.75 and 6,337.56 is: 9,442.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,714.82 : 10,004.75 = 6,337.56 : x
  2. Step 2: Convert to fraction form
    6,714.82/10,004.75 = 6,337.56/x
  3. Step 3: Cross multiply
    6,714.82x = 10,004.75 × 6,337.56
  4. Step 4: Simplify right side
    6,714.82x = 63,405,703.41
  5. Step 5: Solve for x
    x = 63,405,703.41/6,714.82
  6. Step 6: Final answer
    x = 9,442.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.