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Finding the Fourth Proportional to 15,298.78, 22,932.39 and 6,419.27

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Solution

The fourth proportional to 15,298.78, 22,932.39 and 6,419.27 is: 9,622.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,298.78 : 22,932.39 = 6,419.27 : x
  2. Step 2: Convert to fraction form
    15,298.78/22,932.39 = 6,419.27/x
  3. Step 3: Cross multiply
    15,298.78x = 22,932.39 × 6,419.27
  4. Step 4: Simplify right side
    15,298.78x = 147,209,187.11
  5. Step 5: Solve for x
    x = 147,209,187.11/15,298.78
  6. Step 6: Final answer
    x = 9,622.28

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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.