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Finding the Fourth Proportional to 7,076.13, 9,765 and 3,932.25

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Solution

The fourth proportional to 7,076.13, 9,765 and 3,932.25 is: 5,426.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,076.13 : 9,765 = 3,932.25 : x
  2. Step 2: Convert to fraction form
    7,076.13/9,765 = 3,932.25/x
  3. Step 3: Cross multiply
    7,076.13x = 9,765 × 3,932.25
  4. Step 4: Simplify right side
    7,076.13x = 38,398,421.25
  5. Step 5: Solve for x
    x = 38,398,421.25/7,076.13
  6. Step 6: Final answer
    x = 5,426.47

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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.