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Finding the Fourth Proportional to 16,537.10, 22,823.10 and 9,464.85

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Solution

The fourth proportional to 16,537.10, 22,823.10 and 9,464.85 is: 13,062.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,537.10 : 22,823.10 = 9,464.85 : x
  2. Step 2: Convert to fraction form
    16,537.10/22,823.10 = 9,464.85/x
  3. Step 3: Cross multiply
    16,537.10x = 22,823.10 × 9,464.85
  4. Step 4: Simplify right side
    16,537.10x = 216,017,218.04
  5. Step 5: Solve for x
    x = 216,017,218.04/16,537.10
  6. Step 6: Final answer
    x = 13,062.59

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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.