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Finding the Fourth Proportional to 19,673.80, 29,510.65 and 6,166

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Solution

The fourth proportional to 19,673.80, 29,510.65 and 6,166 is: 9,248.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,673.80 : 29,510.65 = 6,166 : x
  2. Step 2: Convert to fraction form
    19,673.80/29,510.65 = 6,166/x
  3. Step 3: Cross multiply
    19,673.80x = 29,510.65 × 6,166
  4. Step 4: Simplify right side
    19,673.80x = 181,962,637.07
  5. Step 5: Solve for x
    x = 181,962,637.07/19,673.80
  6. Step 6: Final answer
    x = 9,248.99

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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.