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Finding the Fourth Proportional to 8,828.24, 12,184.05 and 5,102.24

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Solution

The fourth proportional to 8,828.24, 12,184.05 and 5,102.24 is: 7,041.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,828.24 : 12,184.05 = 5,102.24 : x
  2. Step 2: Convert to fraction form
    8,828.24/12,184.05 = 5,102.24/x
  3. Step 3: Cross multiply
    8,828.24x = 12,184.05 × 5,102.24
  4. Step 4: Simplify right side
    8,828.24x = 62,165,860.84
  5. Step 5: Solve for x
    x = 62,165,860.84/8,828.24
  6. Step 6: Final answer
    x = 7,041.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.