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Finding the Fourth Proportional to 6,476.12, 9,725.02 and 5,661.47

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Solution

The fourth proportional to 6,476.12, 9,725.02 and 5,661.47 is: 8,501.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,476.12 : 9,725.02 = 5,661.47 : x
  2. Step 2: Convert to fraction form
    6,476.12/9,725.02 = 5,661.47/x
  3. Step 3: Cross multiply
    6,476.12x = 9,725.02 × 5,661.47
  4. Step 4: Simplify right side
    6,476.12x = 55,057,846.20
  5. Step 5: Solve for x
    x = 55,057,846.20/6,476.12
  6. Step 6: Final answer
    x = 8,501.67

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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.