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Finding the Fourth Proportional to 12,224.84, 18,332.70 and 4,826.84

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Solution

The fourth proportional to 12,224.84, 18,332.70 and 4,826.84 is: 7,238.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,224.84 : 18,332.70 = 4,826.84 : x
  2. Step 2: Convert to fraction form
    12,224.84/18,332.70 = 4,826.84/x
  3. Step 3: Cross multiply
    12,224.84x = 18,332.70 × 4,826.84
  4. Step 4: Simplify right side
    12,224.84x = 88,489,009.67
  5. Step 5: Solve for x
    x = 88,489,009.67/12,224.84
  6. Step 6: Final answer
    x = 7,238.46

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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.