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Finding the Fourth Proportional to 11,663.16, 17,497.50 and 4,643.58

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Solution

The fourth proportional to 11,663.16, 17,497.50 and 4,643.58 is: 6,966.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,663.16 : 17,497.50 = 4,643.58 : x
  2. Step 2: Convert to fraction form
    11,663.16/17,497.50 = 4,643.58/x
  3. Step 3: Cross multiply
    11,663.16x = 17,497.50 × 4,643.58
  4. Step 4: Simplify right side
    11,663.16x = 81,250,958.02
  5. Step 5: Solve for x
    x = 81,250,958.02/11,663.16
  6. Step 6: Final answer
    x = 6,966.46

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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.