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Finding the Fourth Proportional to 16,457.46, 22,707.94 and 9,739.74

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Solution

The fourth proportional to 16,457.46, 22,707.94 and 9,739.74 is: 13,438.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,457.46 : 22,707.94 = 9,739.74 : x
  2. Step 2: Convert to fraction form
    16,457.46/22,707.94 = 9,739.74/x
  3. Step 3: Cross multiply
    16,457.46x = 22,707.94 × 9,739.74
  4. Step 4: Simplify right side
    16,457.46x = 221,169,431.54
  5. Step 5: Solve for x
    x = 221,169,431.54/16,457.46
  6. Step 6: Final answer
    x = 13,438.86

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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.