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Finding the Fourth Proportional to 16,409.71, 24,609.40 and 5,313.83

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Solution

The fourth proportional to 16,409.71, 24,609.40 and 5,313.83 is: 7,969.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,409.71 : 24,609.40 = 5,313.83 : x
  2. Step 2: Convert to fraction form
    16,409.71/24,609.40 = 5,313.83/x
  3. Step 3: Cross multiply
    16,409.71x = 24,609.40 × 5,313.83
  4. Step 4: Simplify right side
    16,409.71x = 130,770,216.24
  5. Step 5: Solve for x
    x = 130,770,216.24/16,409.71
  6. Step 6: Final answer
    x = 7,969.08

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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.