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Finding the Fourth Proportional to 27,606, 38,096.46 and 15,030.84

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Solution

The fourth proportional to 27,606, 38,096.46 and 15,030.84 is: 20,742.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,606 : 38,096.46 = 15,030.84 : x
  2. Step 2: Convert to fraction form
    27,606/38,096.46 = 15,030.84/x
  3. Step 3: Cross multiply
    27,606x = 38,096.46 × 15,030.84
  4. Step 4: Simplify right side
    27,606x = 572,621,794.83
  5. Step 5: Solve for x
    x = 572,621,794.83/27,606
  6. Step 6: Final answer
    x = 20,742.66

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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.