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Finding the Fourth Proportional to 12,296.58, 16,959.69 and 8,521.17

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Solution

The fourth proportional to 12,296.58, 16,959.69 and 8,521.17 is: 11,752.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,296.58 : 16,959.69 = 8,521.17 : x
  2. Step 2: Convert to fraction form
    12,296.58/16,959.69 = 8,521.17/x
  3. Step 3: Cross multiply
    12,296.58x = 16,959.69 × 8,521.17
  4. Step 4: Simplify right side
    12,296.58x = 144,516,401.64
  5. Step 5: Solve for x
    x = 144,516,401.64/12,296.58
  6. Step 6: Final answer
    x = 11,752.57

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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.