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Finding the Fourth Proportional to 6,487.63, 9,706.14 and 4,932.13

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Solution

The fourth proportional to 6,487.63, 9,706.14 and 4,932.13 is: 7,378.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,487.63 : 9,706.14 = 4,932.13 : x
  2. Step 2: Convert to fraction form
    6,487.63/9,706.14 = 4,932.13/x
  3. Step 3: Cross multiply
    6,487.63x = 9,706.14 × 4,932.13
  4. Step 4: Simplify right side
    6,487.63x = 47,871,895.75
  5. Step 5: Solve for x
    x = 47,871,895.75/6,487.63
  6. Step 6: Final answer
    x = 7,378.96

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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.