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Finding the Fourth Proportional to 16,123.69, 24,194.87 and 6,762.87

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Solution

The fourth proportional to 16,123.69, 24,194.87 and 6,762.87 is: 10,148.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,123.69 : 24,194.87 = 6,762.87 : x
  2. Step 2: Convert to fraction form
    16,123.69/24,194.87 = 6,762.87/x
  3. Step 3: Cross multiply
    16,123.69x = 24,194.87 × 6,762.87
  4. Step 4: Simplify right side
    16,123.69x = 163,626,760.48
  5. Step 5: Solve for x
    x = 163,626,760.48/16,123.69
  6. Step 6: Final answer
    x = 10,148.22

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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.