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Finding the Fourth Proportional to 16,569.81, 22,866.97 and 9,497.60

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Solution

The fourth proportional to 16,569.81, 22,866.97 and 9,497.60 is: 13,107.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,569.81 : 22,866.97 = 9,497.60 : x
  2. Step 2: Convert to fraction form
    16,569.81/22,866.97 = 9,497.60/x
  3. Step 3: Cross multiply
    16,569.81x = 22,866.97 × 9,497.60
  4. Step 4: Simplify right side
    16,569.81x = 217,181,334.27
  5. Step 5: Solve for x
    x = 217,181,334.27/16,569.81
  6. Step 6: Final answer
    x = 13,107.05

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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.