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Finding the Fourth Proportional to 11,494.50, 15,862.43 and 6,526.50

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Solution

The fourth proportional to 11,494.50, 15,862.43 and 6,526.50 is: 9,006.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,494.50 : 15,862.43 = 6,526.50 : x
  2. Step 2: Convert to fraction form
    11,494.50/15,862.43 = 6,526.50/x
  3. Step 3: Cross multiply
    11,494.50x = 15,862.43 × 6,526.50
  4. Step 4: Simplify right side
    11,494.50x = 103,526,116.76
  5. Step 5: Solve for x
    x = 103,526,116.76/11,494.50
  6. Step 6: Final answer
    x = 9,006.58

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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.