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Finding the Fourth Proportional to 13,489.95, 18,611.99 and 7,823.54

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Solution

The fourth proportional to 13,489.95, 18,611.99 and 7,823.54 is: 10,794.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,489.95 : 18,611.99 = 7,823.54 : x
  2. Step 2: Convert to fraction form
    13,489.95/18,611.99 = 7,823.54/x
  3. Step 3: Cross multiply
    13,489.95x = 18,611.99 × 7,823.54
  4. Step 4: Simplify right side
    13,489.95x = 145,611,648.24
  5. Step 5: Solve for x
    x = 145,611,648.24/13,489.95
  6. Step 6: Final answer
    x = 10,794.08

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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.