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Finding the Fourth Proportional to 9,256.54, 13,878.65 and 5,098.50

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Solution

The fourth proportional to 9,256.54, 13,878.65 and 5,098.50 is: 7,644.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,256.54 : 13,878.65 = 5,098.50 : x
  2. Step 2: Convert to fraction form
    9,256.54/13,878.65 = 5,098.50/x
  3. Step 3: Cross multiply
    9,256.54x = 13,878.65 × 5,098.50
  4. Step 4: Simplify right side
    9,256.54x = 70,760,309.77
  5. Step 5: Solve for x
    x = 70,760,309.77/9,256.54
  6. Step 6: Final answer
    x = 7,644.36

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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.