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Finding the Fourth Proportional to 6,440.64, 9,667.44 and 4,704

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Solution

The fourth proportional to 6,440.64, 9,667.44 and 4,704 is: 7,060.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,440.64 : 9,667.44 = 4,704 : x
  2. Step 2: Convert to fraction form
    6,440.64/9,667.44 = 4,704/x
  3. Step 3: Cross multiply
    6,440.64x = 9,667.44 × 4,704
  4. Step 4: Simplify right side
    6,440.64x = 45,475,637.76
  5. Step 5: Solve for x
    x = 45,475,637.76/6,440.64
  6. Step 6: Final answer
    x = 7,060.73

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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.