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Finding the Fourth Proportional to 6,532.34, 9,798.30 and 1,601.96

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Solution

The fourth proportional to 6,532.34, 9,798.30 and 1,601.96 is: 2,402.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,532.34 : 9,798.30 = 1,601.96 : x
  2. Step 2: Convert to fraction form
    6,532.34/9,798.30 = 1,601.96/x
  3. Step 3: Cross multiply
    6,532.34x = 9,798.30 × 1,601.96
  4. Step 4: Simplify right side
    6,532.34x = 15,696,484.67
  5. Step 5: Solve for x
    x = 15,696,484.67/6,532.34
  6. Step 6: Final answer
    x = 2,402.89

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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.