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Finding the Fourth Proportional to 16,564.68, 24,855.12 and 7,800.48

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Solution

The fourth proportional to 16,564.68, 24,855.12 and 7,800.48 is: 11,704.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,564.68 : 24,855.12 = 7,800.48 : x
  2. Step 2: Convert to fraction form
    16,564.68/24,855.12 = 7,800.48/x
  3. Step 3: Cross multiply
    16,564.68x = 24,855.12 × 7,800.48
  4. Step 4: Simplify right side
    16,564.68x = 193,881,866.46
  5. Step 5: Solve for x
    x = 193,881,866.46/16,564.68
  6. Step 6: Final answer
    x = 11,704.53

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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.