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Finding the Fourth Proportional to 11,962.48, 16,509.76 and 7,246.88

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Solution

The fourth proportional to 11,962.48, 16,509.76 and 7,246.88 is: 10,001.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,962.48 : 16,509.76 = 7,246.88 : x
  2. Step 2: Convert to fraction form
    11,962.48/16,509.76 = 7,246.88/x
  3. Step 3: Cross multiply
    11,962.48x = 16,509.76 × 7,246.88
  4. Step 4: Simplify right side
    11,962.48x = 119,644,249.55
  5. Step 5: Solve for x
    x = 119,644,249.55/11,962.48
  6. Step 6: Final answer
    x = 10,001.63

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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.