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Finding the Fourth Proportional to 12,263.76, 16,918.74 and 9,600.48

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Solution

The fourth proportional to 12,263.76, 16,918.74 and 9,600.48 is: 13,244.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,263.76 : 16,918.74 = 9,600.48 : x
  2. Step 2: Convert to fraction form
    12,263.76/16,918.74 = 9,600.48/x
  3. Step 3: Cross multiply
    12,263.76x = 16,918.74 × 9,600.48
  4. Step 4: Simplify right side
    12,263.76x = 162,428,025.00
  5. Step 5: Solve for x
    x = 162,428,025.00/12,263.76
  6. Step 6: Final answer
    x = 13,244.55

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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.