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Finding the Fourth Proportional to 15,578.91, 21,498.95 and 8,505.31

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Solution

The fourth proportional to 15,578.91, 21,498.95 and 8,505.31 is: 11,737.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,578.91 : 21,498.95 = 8,505.31 : x
  2. Step 2: Convert to fraction form
    15,578.91/21,498.95 = 8,505.31/x
  3. Step 3: Cross multiply
    15,578.91x = 21,498.95 × 8,505.31
  4. Step 4: Simplify right side
    15,578.91x = 182,855,234.42
  5. Step 5: Solve for x
    x = 182,855,234.42/15,578.91
  6. Step 6: Final answer
    x = 11,737.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.