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Finding the Fourth Proportional to 15,200.60, 22,790.10 and 6,884.60

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Solution

The fourth proportional to 15,200.60, 22,790.10 and 6,884.60 is: 10,322.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,200.60 : 22,790.10 = 6,884.60 : x
  2. Step 2: Convert to fraction form
    15,200.60/22,790.10 = 6,884.60/x
  3. Step 3: Cross multiply
    15,200.60x = 22,790.10 × 6,884.60
  4. Step 4: Simplify right side
    15,200.60x = 156,900,722.46
  5. Step 5: Solve for x
    x = 156,900,722.46/15,200.60
  6. Step 6: Final answer
    x = 10,322.01

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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.