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Finding the Fourth Proportional to 6,407.57, 9,606.13 and 4,301.36

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Solution

The fourth proportional to 6,407.57, 9,606.13 and 4,301.36 is: 6,448.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,407.57 : 9,606.13 = 4,301.36 : x
  2. Step 2: Convert to fraction form
    6,407.57/9,606.13 = 4,301.36/x
  3. Step 3: Cross multiply
    6,407.57x = 9,606.13 × 4,301.36
  4. Step 4: Simplify right side
    6,407.57x = 41,319,423.34
  5. Step 5: Solve for x
    x = 41,319,423.34/6,407.57
  6. Step 6: Final answer
    x = 6,448.53

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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.