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Finding the Fourth Proportional to 7,003, 9,664.18 and 4,881.64

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Solution

The fourth proportional to 7,003, 9,664.18 and 4,881.64 is: 6,736.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,003 : 9,664.18 = 4,881.64 : x
  2. Step 2: Convert to fraction form
    7,003/9,664.18 = 4,881.64/x
  3. Step 3: Cross multiply
    7,003x = 9,664.18 × 4,881.64
  4. Step 4: Simplify right side
    7,003x = 47,177,047.66
  5. Step 5: Solve for x
    x = 47,177,047.66/7,003
  6. Step 6: Final answer
    x = 6,736.69

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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.