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Finding the Fourth Proportional to 6,575.79, 9,865.14 and 3,457.26

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Solution

The fourth proportional to 6,575.79, 9,865.14 and 3,457.26 is: 5,186.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,575.79 : 9,865.14 = 3,457.26 : x
  2. Step 2: Convert to fraction form
    6,575.79/9,865.14 = 3,457.26/x
  3. Step 3: Cross multiply
    6,575.79x = 9,865.14 × 3,457.26
  4. Step 4: Simplify right side
    6,575.79x = 34,106,353.92
  5. Step 5: Solve for x
    x = 34,106,353.92/6,575.79
  6. Step 6: Final answer
    x = 5,186.65

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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.