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Finding the Fourth Proportional to 25,597, 38,391.04 and 6,878.31

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Solution

The fourth proportional to 25,597, 38,391.04 and 6,878.31 is: 10,316.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,597 : 38,391.04 = 6,878.31 : x
  2. Step 2: Convert to fraction form
    25,597/38,391.04 = 6,878.31/x
  3. Step 3: Cross multiply
    25,597x = 38,391.04 × 6,878.31
  4. Step 4: Simplify right side
    25,597x = 264,065,474.34
  5. Step 5: Solve for x
    x = 264,065,474.34/25,597
  6. Step 6: Final answer
    x = 10,316.27

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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.