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Finding the Fourth Proportional to 13,490.76, 18,611.46 and 7,825.08

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Solution

The fourth proportional to 13,490.76, 18,611.46 and 7,825.08 is: 10,795.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,490.76 : 18,611.46 = 7,825.08 : x
  2. Step 2: Convert to fraction form
    13,490.76/18,611.46 = 7,825.08/x
  3. Step 3: Cross multiply
    13,490.76x = 18,611.46 × 7,825.08
  4. Step 4: Simplify right side
    13,490.76x = 145,636,163.42
  5. Step 5: Solve for x
    x = 145,636,163.42/13,490.76
  6. Step 6: Final answer
    x = 10,795.25

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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.