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Finding the Fourth Proportional to 16,712.25, 23,062.95 and 9,260.25

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Solution

The fourth proportional to 16,712.25, 23,062.95 and 9,260.25 is: 12,779.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,712.25 : 23,062.95 = 9,260.25 : x
  2. Step 2: Convert to fraction form
    16,712.25/23,062.95 = 9,260.25/x
  3. Step 3: Cross multiply
    16,712.25x = 23,062.95 × 9,260.25
  4. Step 4: Simplify right side
    16,712.25x = 213,568,682.74
  5. Step 5: Solve for x
    x = 213,568,682.74/16,712.25
  6. Step 6: Final answer
    x = 12,779.17

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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.