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Finding the Fourth Proportional to 9,192, 12,681.03 and 7,194.54

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Solution

The fourth proportional to 9,192, 12,681.03 and 7,194.54 is: 9,925.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,192 : 12,681.03 = 7,194.54 : x
  2. Step 2: Convert to fraction form
    9,192/12,681.03 = 7,194.54/x
  3. Step 3: Cross multiply
    9,192x = 12,681.03 × 7,194.54
  4. Step 4: Simplify right side
    9,192x = 91,234,177.58
  5. Step 5: Solve for x
    x = 91,234,177.58/9,192
  6. Step 6: Final answer
    x = 9,925.39

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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.