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Finding the Fourth Proportional to 6,718.56, 10,069.76 and 5,069.60

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Solution

The fourth proportional to 6,718.56, 10,069.76 and 5,069.60 is: 7,598.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,718.56 : 10,069.76 = 5,069.60 : x
  2. Step 2: Convert to fraction form
    6,718.56/10,069.76 = 5,069.60/x
  3. Step 3: Cross multiply
    6,718.56x = 10,069.76 × 5,069.60
  4. Step 4: Simplify right side
    6,718.56x = 51,049,655.30
  5. Step 5: Solve for x
    x = 51,049,655.30/6,718.56
  6. Step 6: Final answer
    x = 7,598.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.