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Finding the Fourth Proportional to 9,610.94, 13,263.10 and 5,194.94

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Solution

The fourth proportional to 9,610.94, 13,263.10 and 5,194.94 is: 7,169.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,610.94 : 13,263.10 = 5,194.94 : x
  2. Step 2: Convert to fraction form
    9,610.94/13,263.10 = 5,194.94/x
  3. Step 3: Cross multiply
    9,610.94x = 13,263.10 × 5,194.94
  4. Step 4: Simplify right side
    9,610.94x = 68,901,008.71
  5. Step 5: Solve for x
    x = 68,901,008.71/9,610.94
  6. Step 6: Final answer
    x = 7,169.02

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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.