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Finding the Fourth Proportional to 22,757.72, 34,136.58 and 8,897

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Solution

The fourth proportional to 22,757.72, 34,136.58 and 8,897 is: 13,345.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,757.72 : 34,136.58 = 8,897 : x
  2. Step 2: Convert to fraction form
    22,757.72/34,136.58 = 8,897/x
  3. Step 3: Cross multiply
    22,757.72x = 34,136.58 × 8,897
  4. Step 4: Simplify right side
    22,757.72x = 303,713,152.26
  5. Step 5: Solve for x
    x = 303,713,152.26/22,757.72
  6. Step 6: Final answer
    x = 13,345.50

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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.