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Finding the Fourth Proportional to 6,570.79, 9,845.21 and 4,619.50

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Solution

The fourth proportional to 6,570.79, 9,845.21 and 4,619.50 is: 6,921.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,570.79 : 9,845.21 = 4,619.50 : x
  2. Step 2: Convert to fraction form
    6,570.79/9,845.21 = 4,619.50/x
  3. Step 3: Cross multiply
    6,570.79x = 9,845.21 × 4,619.50
  4. Step 4: Simplify right side
    6,570.79x = 45,479,934.53
  5. Step 5: Solve for x
    x = 45,479,934.53/6,570.79
  6. Step 6: Final answer
    x = 6,921.53

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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.