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Finding the Fourth Proportional to 16,537.12, 22,821.64 and 9,085.12

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Solution

The fourth proportional to 16,537.12, 22,821.64 and 9,085.12 is: 12,537.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,537.12 : 22,821.64 = 9,085.12 : x
  2. Step 2: Convert to fraction form
    16,537.12/22,821.64 = 9,085.12/x
  3. Step 3: Cross multiply
    16,537.12x = 22,821.64 × 9,085.12
  4. Step 4: Simplify right side
    16,537.12x = 207,337,338.00
  5. Step 5: Solve for x
    x = 207,337,338.00/16,537.12
  6. Step 6: Final answer
    x = 12,537.69

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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.