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Finding the Fourth Proportional to 10,154, 15,233.24 and 4,315.60

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Solution

The fourth proportional to 10,154, 15,233.24 and 4,315.60 is: 6,474.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,154 : 15,233.24 = 4,315.60 : x
  2. Step 2: Convert to fraction form
    10,154/15,233.24 = 4,315.60/x
  3. Step 3: Cross multiply
    10,154x = 15,233.24 × 4,315.60
  4. Step 4: Simplify right side
    10,154x = 65,740,570.54
  5. Step 5: Solve for x
    x = 65,740,570.54/10,154
  6. Step 6: Final answer
    x = 6,474.35

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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.