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Finding the Fourth Proportional to 10,398.54, 15,583.22 and 6,928.50

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Solution

The fourth proportional to 10,398.54, 15,583.22 and 6,928.50 is: 10,383.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,398.54 : 15,583.22 = 6,928.50 : x
  2. Step 2: Convert to fraction form
    10,398.54/15,583.22 = 6,928.50/x
  3. Step 3: Cross multiply
    10,398.54x = 15,583.22 × 6,928.50
  4. Step 4: Simplify right side
    10,398.54x = 107,968,339.77
  5. Step 5: Solve for x
    x = 107,968,339.77/10,398.54
  6. Step 6: Final answer
    x = 10,383.03

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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.