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Finding the Fourth Proportional to 11,738.48, 16,203.51 and 7,765.02

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Solution

The fourth proportional to 11,738.48, 16,203.51 and 7,765.02 is: 10,718.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,738.48 : 16,203.51 = 7,765.02 : x
  2. Step 2: Convert to fraction form
    11,738.48/16,203.51 = 7,765.02/x
  3. Step 3: Cross multiply
    11,738.48x = 16,203.51 × 7,765.02
  4. Step 4: Simplify right side
    11,738.48x = 125,820,579.22
  5. Step 5: Solve for x
    x = 125,820,579.22/11,738.48
  6. Step 6: Final answer
    x = 10,718.65

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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.