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Finding the Fourth Proportional to 19,737, 29,599.08 and 6,585.84

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Solution

The fourth proportional to 19,737, 29,599.08 and 6,585.84 is: 9,876.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,737 : 29,599.08 = 6,585.84 : x
  2. Step 2: Convert to fraction form
    19,737/29,599.08 = 6,585.84/x
  3. Step 3: Cross multiply
    19,737x = 29,599.08 × 6,585.84
  4. Step 4: Simplify right side
    19,737x = 194,934,805.03
  5. Step 5: Solve for x
    x = 194,934,805.03/19,737
  6. Step 6: Final answer
    x = 9,876.62

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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.