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Finding the Fourth Proportional to 10,611.16, 15,914.68 and 10,084.30

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Solution

The fourth proportional to 10,611.16, 15,914.68 and 10,084.30 is: 15,124.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,611.16 : 15,914.68 = 10,084.30 : x
  2. Step 2: Convert to fraction form
    10,611.16/15,914.68 = 10,084.30/x
  3. Step 3: Cross multiply
    10,611.16x = 15,914.68 × 10,084.30
  4. Step 4: Simplify right side
    10,611.16x = 160,488,407.52
  5. Step 5: Solve for x
    x = 160,488,407.52/10,611.16
  6. Step 6: Final answer
    x = 15,124.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.