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Finding the Fourth Proportional to 7,146.56, 9,860.28 and 5,965.76

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Solution

The fourth proportional to 7,146.56, 9,860.28 and 5,965.76 is: 8,231.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,146.56 : 9,860.28 = 5,965.76 : x
  2. Step 2: Convert to fraction form
    7,146.56/9,860.28 = 5,965.76/x
  3. Step 3: Cross multiply
    7,146.56x = 9,860.28 × 5,965.76
  4. Step 4: Simplify right side
    7,146.56x = 58,824,064.01
  5. Step 5: Solve for x
    x = 58,824,064.01/7,146.56
  6. Step 6: Final answer
    x = 8,231.10

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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.