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Finding the Fourth Proportional to 6,735.78, 9,303.18 and 4,494

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Solution

The fourth proportional to 6,735.78, 9,303.18 and 4,494 is: 6,206.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,735.78 : 9,303.18 = 4,494 : x
  2. Step 2: Convert to fraction form
    6,735.78/9,303.18 = 4,494/x
  3. Step 3: Cross multiply
    6,735.78x = 9,303.18 × 4,494
  4. Step 4: Simplify right side
    6,735.78x = 41,808,490.92
  5. Step 5: Solve for x
    x = 41,808,490.92/6,735.78
  6. Step 6: Final answer
    x = 6,206.93

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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.