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Finding the Fourth Proportional to 18,594, 25,659.76 and 10,096.14

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Solution

The fourth proportional to 18,594, 25,659.76 and 10,096.14 is: 13,932.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,594 : 25,659.76 = 10,096.14 : x
  2. Step 2: Convert to fraction form
    18,594/25,659.76 = 10,096.14/x
  3. Step 3: Cross multiply
    18,594x = 25,659.76 × 10,096.14
  4. Step 4: Simplify right side
    18,594x = 259,064,529.33
  5. Step 5: Solve for x
    x = 259,064,529.33/18,594
  6. Step 6: Final answer
    x = 13,932.69

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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.