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Finding the Fourth Proportional to 9,196.48, 12,691 and 5,004.68

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Solution

The fourth proportional to 9,196.48, 12,691 and 5,004.68 is: 6,906.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,196.48 : 12,691 = 5,004.68 : x
  2. Step 2: Convert to fraction form
    9,196.48/12,691 = 5,004.68/x
  3. Step 3: Cross multiply
    9,196.48x = 12,691 × 5,004.68
  4. Step 4: Simplify right side
    9,196.48x = 63,514,393.88
  5. Step 5: Solve for x
    x = 63,514,393.88/9,196.48
  6. Step 6: Final answer
    x = 6,906.38

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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.