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Finding the Fourth Proportional to 27,889.76, 38,488 and 15,314.50

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Solution

The fourth proportional to 27,889.76, 38,488 and 15,314.50 is: 21,134.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,889.76 : 38,488 = 15,314.50 : x
  2. Step 2: Convert to fraction form
    27,889.76/38,488 = 15,314.50/x
  3. Step 3: Cross multiply
    27,889.76x = 38,488 × 15,314.50
  4. Step 4: Simplify right side
    27,889.76x = 589,424,476
  5. Step 5: Solve for x
    x = 589,424,476/27,889.76
  6. Step 6: Final answer
    x = 21,134.08

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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.