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Finding the Fourth Proportional to 9,952.90, 13,739.26 and 7,083.49

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Solution

The fourth proportional to 9,952.90, 13,739.26 and 7,083.49 is: 9,778.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,952.90 : 13,739.26 = 7,083.49 : x
  2. Step 2: Convert to fraction form
    9,952.90/13,739.26 = 7,083.49/x
  3. Step 3: Cross multiply
    9,952.90x = 13,739.26 × 7,083.49
  4. Step 4: Simplify right side
    9,952.90x = 97,321,868.52
  5. Step 5: Solve for x
    x = 97,321,868.52/9,952.90
  6. Step 6: Final answer
    x = 9,778.24

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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.