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Finding the Fourth Proportional to 19,798.14, 29,691 and 6,468.10

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Solution

The fourth proportional to 19,798.14, 29,691 and 6,468.10 is: 9,700.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,798.14 : 29,691 = 6,468.10 : x
  2. Step 2: Convert to fraction form
    19,798.14/29,691 = 6,468.10/x
  3. Step 3: Cross multiply
    19,798.14x = 29,691 × 6,468.10
  4. Step 4: Simplify right side
    19,798.14x = 192,044,208.65
  5. Step 5: Solve for x
    x = 192,044,208.65/19,798.14
  6. Step 6: Final answer
    x = 9,700.11

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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.