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Finding the Fourth Proportional to 6,697.42, 9,239.47 and 4,709.26

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Solution

The fourth proportional to 6,697.42, 9,239.47 and 4,709.26 is: 6,496.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,697.42 : 9,239.47 = 4,709.26 : x
  2. Step 2: Convert to fraction form
    6,697.42/9,239.47 = 4,709.26/x
  3. Step 3: Cross multiply
    6,697.42x = 9,239.47 × 4,709.26
  4. Step 4: Simplify right side
    6,697.42x = 43,511,066.49
  5. Step 5: Solve for x
    x = 43,511,066.49/6,697.42
  6. Step 6: Final answer
    x = 6,496.69

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1.5x scale

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.