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Finding the Fourth Proportional to 11,574.64, 17,365.02 and 6,646

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Solution

The fourth proportional to 11,574.64, 17,365.02 and 6,646 is: 9,970.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,574.64 : 17,365.02 = 6,646 : x
  2. Step 2: Convert to fraction form
    11,574.64/17,365.02 = 6,646/x
  3. Step 3: Cross multiply
    11,574.64x = 17,365.02 × 6,646
  4. Step 4: Simplify right side
    11,574.64x = 115,407,922.92
  5. Step 5: Solve for x
    x = 115,407,922.92/11,574.64
  6. Step 6: Final answer
    x = 9,970.76

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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.