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Finding the Fourth Proportional to 11,566, 15,963.24 and 6,598

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Solution

The fourth proportional to 11,566, 15,963.24 and 6,598 is: 9,106.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,566 : 15,963.24 = 6,598 : x
  2. Step 2: Convert to fraction form
    11,566/15,963.24 = 6,598/x
  3. Step 3: Cross multiply
    11,566x = 15,963.24 × 6,598
  4. Step 4: Simplify right side
    11,566x = 105,325,457.52
  5. Step 5: Solve for x
    x = 105,325,457.52/11,566
  6. Step 6: Final answer
    x = 9,106.47

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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.