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Finding the Fourth Proportional to 6,334.60, 9,502.11 and 3,047.02

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Solution

The fourth proportional to 6,334.60, 9,502.11 and 3,047.02 is: 4,570.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,334.60 : 9,502.11 = 3,047.02 : x
  2. Step 2: Convert to fraction form
    6,334.60/9,502.11 = 3,047.02/x
  3. Step 3: Cross multiply
    6,334.60x = 9,502.11 × 3,047.02
  4. Step 4: Simplify right side
    6,334.60x = 28,953,119.21
  5. Step 5: Solve for x
    x = 28,953,119.21/6,334.60
  6. Step 6: Final answer
    x = 4,570.63

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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.