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Finding the Fourth Proportional to 6,425.13, 9,637.70 and 1,808.13

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Solution

The fourth proportional to 6,425.13, 9,637.70 and 1,808.13 is: 2,712.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,425.13 : 9,637.70 = 1,808.13 : x
  2. Step 2: Convert to fraction form
    6,425.13/9,637.70 = 1,808.13/x
  3. Step 3: Cross multiply
    6,425.13x = 9,637.70 × 1,808.13
  4. Step 4: Simplify right side
    6,425.13x = 17,426,214.50
  5. Step 5: Solve for x
    x = 17,426,214.50/6,425.13
  6. Step 6: Final answer
    x = 2,712.20

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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.