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Finding the Fourth Proportional to 19,294.83, 28,935.14 and 6,642

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Solution

The fourth proportional to 19,294.83, 28,935.14 and 6,642 is: 9,960.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,294.83 : 28,935.14 = 6,642 : x
  2. Step 2: Convert to fraction form
    19,294.83/28,935.14 = 6,642/x
  3. Step 3: Cross multiply
    19,294.83x = 28,935.14 × 6,642
  4. Step 4: Simplify right side
    19,294.83x = 192,187,166.67
  5. Step 5: Solve for x
    x = 192,187,166.67/19,294.83
  6. Step 6: Final answer
    x = 9,960.55

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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.