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Finding the Fourth Proportional to 9,735, 13,434.32 and 5,543.26

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Solution

The fourth proportional to 9,735, 13,434.32 and 5,543.26 is: 7,649.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,735 : 13,434.32 = 5,543.26 : x
  2. Step 2: Convert to fraction form
    9,735/13,434.32 = 5,543.26/x
  3. Step 3: Cross multiply
    9,735x = 13,434.32 × 5,543.26
  4. Step 4: Simplify right side
    9,735x = 74,469,928.68
  5. Step 5: Solve for x
    x = 74,469,928.68/9,735
  6. Step 6: Final answer
    x = 7,649.71

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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.