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Finding the Fourth Proportional to 15,225.88, 22,838.34 and 6,899.80

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Solution

The fourth proportional to 15,225.88, 22,838.34 and 6,899.80 is: 10,349.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,225.88 : 22,838.34 = 6,899.80 : x
  2. Step 2: Convert to fraction form
    15,225.88/22,838.34 = 6,899.80/x
  3. Step 3: Cross multiply
    15,225.88x = 22,838.34 × 6,899.80
  4. Step 4: Simplify right side
    15,225.88x = 157,579,978.33
  5. Step 5: Solve for x
    x = 157,579,978.33/15,225.88
  6. Step 6: Final answer
    x = 10,349.48

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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.