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Finding the Fourth Proportional to 6,477.12, 9,697.38 and 5,019.12

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Solution

The fourth proportional to 6,477.12, 9,697.38 and 5,019.12 is: 7,514.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,477.12 : 9,697.38 = 5,019.12 : x
  2. Step 2: Convert to fraction form
    6,477.12/9,697.38 = 5,019.12/x
  3. Step 3: Cross multiply
    6,477.12x = 9,697.38 × 5,019.12
  4. Step 4: Simplify right side
    6,477.12x = 48,672,313.91
  5. Step 5: Solve for x
    x = 48,672,313.91/6,477.12
  6. Step 6: Final answer
    x = 7,514.50

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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.