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Finding the Fourth Proportional to 6,735.38, 9,298.68 and 4,501.04

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Solution

The fourth proportional to 6,735.38, 9,298.68 and 4,501.04 is: 6,214.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,735.38 : 9,298.68 = 4,501.04 : x
  2. Step 2: Convert to fraction form
    6,735.38/9,298.68 = 4,501.04/x
  3. Step 3: Cross multiply
    6,735.38x = 9,298.68 × 4,501.04
  4. Step 4: Simplify right side
    6,735.38x = 41,853,730.63
  5. Step 5: Solve for x
    x = 41,853,730.63/6,735.38
  6. Step 6: Final answer
    x = 6,214.01

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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.