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Finding the Fourth Proportional to 12,317.68, 16,997.76 and 7,012.48

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Solution

The fourth proportional to 12,317.68, 16,997.76 and 7,012.48 is: 9,676.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,317.68 : 16,997.76 = 7,012.48 : x
  2. Step 2: Convert to fraction form
    12,317.68/16,997.76 = 7,012.48/x
  3. Step 3: Cross multiply
    12,317.68x = 16,997.76 × 7,012.48
  4. Step 4: Simplify right side
    12,317.68x = 119,196,452.04
  5. Step 5: Solve for x
    x = 119,196,452.04/12,317.68
  6. Step 6: Final answer
    x = 9,676.86

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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.