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Finding the Fourth Proportional to 9,903.86, 13,666.02 and 5,923.52

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Solution

The fourth proportional to 9,903.86, 13,666.02 and 5,923.52 is: 8,173.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,903.86 : 13,666.02 = 5,923.52 : x
  2. Step 2: Convert to fraction form
    9,903.86/13,666.02 = 5,923.52/x
  3. Step 3: Cross multiply
    9,903.86x = 13,666.02 × 5,923.52
  4. Step 4: Simplify right side
    9,903.86x = 80,950,942.79
  5. Step 5: Solve for x
    x = 80,950,942.79/9,903.86
  6. Step 6: Final answer
    x = 8,173.68

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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.