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Finding the Fourth Proportional to 9,296.39, 12,829.03 and 5,047.45

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Solution

The fourth proportional to 9,296.39, 12,829.03 and 5,047.45 is: 6,965.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,296.39 : 12,829.03 = 5,047.45 : x
  2. Step 2: Convert to fraction form
    9,296.39/12,829.03 = 5,047.45/x
  3. Step 3: Cross multiply
    9,296.39x = 12,829.03 × 5,047.45
  4. Step 4: Simplify right side
    9,296.39x = 64,753,887.47
  5. Step 5: Solve for x
    x = 64,753,887.47/9,296.39
  6. Step 6: Final answer
    x = 6,965.49

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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.