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Finding the Fourth Proportional to 19,637.50, 29,461.92 and 5,786.50

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Solution

The fourth proportional to 19,637.50, 29,461.92 and 5,786.50 is: 8,681.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,637.50 : 29,461.92 = 5,786.50 : x
  2. Step 2: Convert to fraction form
    19,637.50/29,461.92 = 5,786.50/x
  3. Step 3: Cross multiply
    19,637.50x = 29,461.92 × 5,786.50
  4. Step 4: Simplify right side
    19,637.50x = 170,481,400.08
  5. Step 5: Solve for x
    x = 170,481,400.08/19,637.50
  6. Step 6: Final answer
    x = 8,681.42

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1.5x scale

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.