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Finding the Fourth Proportional to 25,597.73, 38,394 and 6,875.33

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Solution

The fourth proportional to 25,597.73, 38,394 and 6,875.33 is: 10,312.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,597.73 : 38,394 = 6,875.33 : x
  2. Step 2: Convert to fraction form
    25,597.73/38,394 = 6,875.33/x
  3. Step 3: Cross multiply
    25,597.73x = 38,394 × 6,875.33
  4. Step 4: Simplify right side
    25,597.73x = 263,971,420.02
  5. Step 5: Solve for x
    x = 263,971,420.02/25,597.73
  6. Step 6: Final answer
    x = 10,312.30

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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.