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Finding the Fourth Proportional to 16,406.99, 24,614.40 and 5,313.70

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Solution

The fourth proportional to 16,406.99, 24,614.40 and 5,313.70 is: 7,971.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,406.99 : 24,614.40 = 5,313.70 : x
  2. Step 2: Convert to fraction form
    16,406.99/24,614.40 = 5,313.70/x
  3. Step 3: Cross multiply
    16,406.99x = 24,614.40 × 5,313.70
  4. Step 4: Simplify right side
    16,406.99x = 130,793,537.28
  5. Step 5: Solve for x
    x = 130,793,537.28/16,406.99
  6. Step 6: Final answer
    x = 7,971.82

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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.