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Finding the Fourth Proportional to 12,064.80, 18,099.58 and 5,829.14

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Solution

The fourth proportional to 12,064.80, 18,099.58 and 5,829.14 is: 8,744.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,064.80 : 18,099.58 = 5,829.14 : x
  2. Step 2: Convert to fraction form
    12,064.80/18,099.58 = 5,829.14/x
  3. Step 3: Cross multiply
    12,064.80x = 18,099.58 × 5,829.14
  4. Step 4: Simplify right side
    12,064.80x = 105,504,985.76
  5. Step 5: Solve for x
    x = 105,504,985.76/12,064.80
  6. Step 6: Final answer
    x = 8,744.86

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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.