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Finding the Fourth Proportional to 6,747.91, 9,313.78 and 4,598.01

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Solution

The fourth proportional to 6,747.91, 9,313.78 and 4,598.01 is: 6,346.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,747.91 : 9,313.78 = 4,598.01 : x
  2. Step 2: Convert to fraction form
    6,747.91/9,313.78 = 4,598.01/x
  3. Step 3: Cross multiply
    6,747.91x = 9,313.78 × 4,598.01
  4. Step 4: Simplify right side
    6,747.91x = 42,824,830.29
  5. Step 5: Solve for x
    x = 42,824,830.29/6,747.91
  6. Step 6: Final answer
    x = 6,346.39

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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.