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Finding the Fourth Proportional to 15,303.28, 22,957.22 and 8,284.28

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Solution

The fourth proportional to 15,303.28, 22,957.22 and 8,284.28 is: 12,427.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,303.28 : 22,957.22 = 8,284.28 : x
  2. Step 2: Convert to fraction form
    15,303.28/22,957.22 = 8,284.28/x
  3. Step 3: Cross multiply
    15,303.28x = 22,957.22 × 8,284.28
  4. Step 4: Simplify right side
    15,303.28x = 190,183,944.43
  5. Step 5: Solve for x
    x = 190,183,944.43/15,303.28
  6. Step 6: Final answer
    x = 12,427.66

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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.