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Finding the Fourth Proportional to 11,497.50, 15,866.55 and 6,529.50

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Solution

The fourth proportional to 11,497.50, 15,866.55 and 6,529.50 is: 9,010.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,497.50 : 15,866.55 = 6,529.50 : x
  2. Step 2: Convert to fraction form
    11,497.50/15,866.55 = 6,529.50/x
  3. Step 3: Cross multiply
    11,497.50x = 15,866.55 × 6,529.50
  4. Step 4: Simplify right side
    11,497.50x = 103,600,638.23
  5. Step 5: Solve for x
    x = 103,600,638.23/11,497.50
  6. Step 6: Final answer
    x = 9,010.71

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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.