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Finding the Fourth Proportional to 25,538, 35,243.64 and 14,207.56

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Solution

The fourth proportional to 25,538, 35,243.64 and 14,207.56 is: 19,607.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,538 : 35,243.64 = 14,207.56 : x
  2. Step 2: Convert to fraction form
    25,538/35,243.64 = 14,207.56/x
  3. Step 3: Cross multiply
    25,538x = 35,243.64 × 14,207.56
  4. Step 4: Simplify right side
    25,538x = 500,726,129.92
  5. Step 5: Solve for x
    x = 500,726,129.92/25,538
  6. Step 6: Final answer
    x = 19,607.10

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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.