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Finding the Fourth Proportional to 15,214.23, 22,803.12 and 7,822.17

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Solution

The fourth proportional to 15,214.23, 22,803.12 and 7,822.17 is: 11,723.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,214.23 : 22,803.12 = 7,822.17 : x
  2. Step 2: Convert to fraction form
    15,214.23/22,803.12 = 7,822.17/x
  3. Step 3: Cross multiply
    15,214.23x = 22,803.12 × 7,822.17
  4. Step 4: Simplify right side
    15,214.23x = 178,369,881.17
  5. Step 5: Solve for x
    x = 178,369,881.17/15,214.23
  6. Step 6: Final answer
    x = 11,723.88

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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.