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Finding the Fourth Proportional to 10,761.64, 14,846.89 and 7,935.70

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Solution

The fourth proportional to 10,761.64, 14,846.89 and 7,935.70 is: 10,948.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,761.64 : 14,846.89 = 7,935.70 : x
  2. Step 2: Convert to fraction form
    10,761.64/14,846.89 = 7,935.70/x
  3. Step 3: Cross multiply
    10,761.64x = 14,846.89 × 7,935.70
  4. Step 4: Simplify right side
    10,761.64x = 117,820,464.97
  5. Step 5: Solve for x
    x = 117,820,464.97/10,761.64
  6. Step 6: Final answer
    x = 10,948.19

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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.