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Finding the Fourth Proportional to 9,953.64, 13,736.02 and 5,761.80

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Solution

The fourth proportional to 9,953.64, 13,736.02 and 5,761.80 is: 7,951.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,953.64 : 13,736.02 = 5,761.80 : x
  2. Step 2: Convert to fraction form
    9,953.64/13,736.02 = 5,761.80/x
  3. Step 3: Cross multiply
    9,953.64x = 13,736.02 × 5,761.80
  4. Step 4: Simplify right side
    9,953.64x = 79,144,200.04
  5. Step 5: Solve for x
    x = 79,144,200.04/9,953.64
  6. Step 6: Final answer
    x = 7,951.28

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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.