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Finding the Fourth Proportional to 13,197.78, 19,800.11 and 5,803.69

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Solution

The fourth proportional to 13,197.78, 19,800.11 and 5,803.69 is: 8,707.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,197.78 : 19,800.11 = 5,803.69 : x
  2. Step 2: Convert to fraction form
    13,197.78/19,800.11 = 5,803.69/x
  3. Step 3: Cross multiply
    13,197.78x = 19,800.11 × 5,803.69
  4. Step 4: Simplify right side
    13,197.78x = 114,913,700.41
  5. Step 5: Solve for x
    x = 114,913,700.41/13,197.78
  6. Step 6: Final answer
    x = 8,707.05

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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.