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Finding the Fourth Proportional to 16,537.64, 22,815.51 and 9,365.91

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Solution

The fourth proportional to 16,537.64, 22,815.51 and 9,365.91 is: 12,921.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,537.64 : 22,815.51 = 9,365.91 : x
  2. Step 2: Convert to fraction form
    16,537.64/22,815.51 = 9,365.91/x
  3. Step 3: Cross multiply
    16,537.64x = 22,815.51 × 9,365.91
  4. Step 4: Simplify right side
    16,537.64x = 213,688,013.26
  5. Step 5: Solve for x
    x = 213,688,013.26/16,537.64
  6. Step 6: Final answer
    x = 12,921.31

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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.