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Finding the Fourth Proportional to 6,501.89, 9,747.65 and 6,135.14

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Solution

The fourth proportional to 6,501.89, 9,747.65 and 6,135.14 is: 9,197.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,501.89 : 9,747.65 = 6,135.14 : x
  2. Step 2: Convert to fraction form
    6,501.89/9,747.65 = 6,135.14/x
  3. Step 3: Cross multiply
    6,501.89x = 9,747.65 × 6,135.14
  4. Step 4: Simplify right side
    6,501.89x = 59,803,118.01
  5. Step 5: Solve for x
    x = 59,803,118.01/6,501.89
  6. Step 6: Final answer
    x = 9,197.81

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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.