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Finding the Fourth Proportional to 6,667.16, 9,200.64 and 4,014

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Solution

The fourth proportional to 6,667.16, 9,200.64 and 4,014 is: 5,539.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,667.16 : 9,200.64 = 4,014 : x
  2. Step 2: Convert to fraction form
    6,667.16/9,200.64 = 4,014/x
  3. Step 3: Cross multiply
    6,667.16x = 9,200.64 × 4,014
  4. Step 4: Simplify right side
    6,667.16x = 36,931,368.96
  5. Step 5: Solve for x
    x = 36,931,368.96/6,667.16
  6. Step 6: Final answer
    x = 5,539.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.