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Finding the Fourth Proportional to 10,271.54, 15,333 and 9,025.97

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Solution

The fourth proportional to 10,271.54, 15,333 and 9,025.97 is: 13,473.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,271.54 : 15,333 = 9,025.97 : x
  2. Step 2: Convert to fraction form
    10,271.54/15,333 = 9,025.97/x
  3. Step 3: Cross multiply
    10,271.54x = 15,333 × 9,025.97
  4. Step 4: Simplify right side
    10,271.54x = 138,395,236.34
  5. Step 5: Solve for x
    x = 138,395,236.34/10,271.54
  6. Step 6: Final answer
    x = 13,473.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.