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Finding the Fourth Proportional to 6,497.29, 9,748.64 and 3,575.35

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Solution

The fourth proportional to 6,497.29, 9,748.64 and 3,575.35 is: 5,364.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,497.29 : 9,748.64 = 3,575.35 : x
  2. Step 2: Convert to fraction form
    6,497.29/9,748.64 = 3,575.35/x
  3. Step 3: Cross multiply
    6,497.29x = 9,748.64 × 3,575.35
  4. Step 4: Simplify right side
    6,497.29x = 34,854,800.02
  5. Step 5: Solve for x
    x = 34,854,800.02/6,497.29
  6. Step 6: Final answer
    x = 5,364.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.