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Finding the Fourth Proportional to 16,570.17, 22,867.43 and 9,497.94

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Solution

The fourth proportional to 16,570.17, 22,867.43 and 9,497.94 is: 13,107.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,570.17 : 22,867.43 = 9,497.94 : x
  2. Step 2: Convert to fraction form
    16,570.17/22,867.43 = 9,497.94/x
  3. Step 3: Cross multiply
    16,570.17x = 22,867.43 × 9,497.94
  4. Step 4: Simplify right side
    16,570.17x = 217,193,478.09
  5. Step 5: Solve for x
    x = 217,193,478.09/16,570.17
  6. Step 6: Final answer
    x = 13,107.50

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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.