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Finding the Fourth Proportional to 10,923.42, 16,400.13 and 5,662.74

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Solution

The fourth proportional to 10,923.42, 16,400.13 and 5,662.74 is: 8,501.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,923.42 : 16,400.13 = 5,662.74 : x
  2. Step 2: Convert to fraction form
    10,923.42/16,400.13 = 5,662.74/x
  3. Step 3: Cross multiply
    10,923.42x = 16,400.13 × 5,662.74
  4. Step 4: Simplify right side
    10,923.42x = 92,869,672.16
  5. Step 5: Solve for x
    x = 92,869,672.16/10,923.42
  6. Step 6: Final answer
    x = 8,501.89

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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.