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Finding the Fourth Proportional to 7,111.56, 9,813.24 and 3,967.80

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Solution

The fourth proportional to 7,111.56, 9,813.24 and 3,967.80 is: 5,475.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,111.56 : 9,813.24 = 3,967.80 : x
  2. Step 2: Convert to fraction form
    7,111.56/9,813.24 = 3,967.80/x
  3. Step 3: Cross multiply
    7,111.56x = 9,813.24 × 3,967.80
  4. Step 4: Simplify right side
    7,111.56x = 38,936,973.67
  5. Step 5: Solve for x
    x = 38,936,973.67/7,111.56
  6. Step 6: Final answer
    x = 5,475.17

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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.