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Finding the Fourth Proportional to 6,961.26, 9,606.31 and 4,130.31

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Solution

The fourth proportional to 6,961.26, 9,606.31 and 4,130.31 is: 5,699.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,961.26 : 9,606.31 = 4,130.31 : x
  2. Step 2: Convert to fraction form
    6,961.26/9,606.31 = 4,130.31/x
  3. Step 3: Cross multiply
    6,961.26x = 9,606.31 × 4,130.31
  4. Step 4: Simplify right side
    6,961.26x = 39,677,038.26
  5. Step 5: Solve for x
    x = 39,677,038.26/6,961.26
  6. Step 6: Final answer
    x = 5,699.69

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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.