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Finding the Fourth Proportional to 12,064.84, 18,108.94 and 5,829.24

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Solution

The fourth proportional to 12,064.84, 18,108.94 and 5,829.24 is: 8,749.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,064.84 : 18,108.94 = 5,829.24 : x
  2. Step 2: Convert to fraction form
    12,064.84/18,108.94 = 5,829.24/x
  3. Step 3: Cross multiply
    12,064.84x = 18,108.94 × 5,829.24
  4. Step 4: Simplify right side
    12,064.84x = 105,561,357.41
  5. Step 5: Solve for x
    x = 105,561,357.41/12,064.84
  6. Step 6: Final answer
    x = 8,749.50

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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.