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Finding the Fourth Proportional to 15,023.64, 22,516.02 and 7,228.20

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Solution

The fourth proportional to 15,023.64, 22,516.02 and 7,228.20 is: 10,832.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,023.64 : 22,516.02 = 7,228.20 : x
  2. Step 2: Convert to fraction form
    15,023.64/22,516.02 = 7,228.20/x
  3. Step 3: Cross multiply
    15,023.64x = 22,516.02 × 7,228.20
  4. Step 4: Simplify right side
    15,023.64x = 162,750,295.76
  5. Step 5: Solve for x
    x = 162,750,295.76/15,023.64
  6. Step 6: Final answer
    x = 10,832.95

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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.