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Finding the Fourth Proportional to 28,615.38, 42,922.26 and 7,838.88

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Solution

The fourth proportional to 28,615.38, 42,922.26 and 7,838.88 is: 11,758.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,615.38 : 42,922.26 = 7,838.88 : x
  2. Step 2: Convert to fraction form
    28,615.38/42,922.26 = 7,838.88/x
  3. Step 3: Cross multiply
    28,615.38x = 42,922.26 × 7,838.88
  4. Step 4: Simplify right side
    28,615.38x = 336,462,445.47
  5. Step 5: Solve for x
    x = 336,462,445.47/28,615.38
  6. Step 6: Final answer
    x = 11,758.10

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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.