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Finding the Fourth Proportional to 25,420, 38,132.64 and 6,952

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Solution

The fourth proportional to 25,420, 38,132.64 and 6,952 is: 10,428.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,420 : 38,132.64 = 6,952 : x
  2. Step 2: Convert to fraction form
    25,420/38,132.64 = 6,952/x
  3. Step 3: Cross multiply
    25,420x = 38,132.64 × 6,952
  4. Step 4: Simplify right side
    25,420x = 265,098,113.28
  5. Step 5: Solve for x
    x = 265,098,113.28/25,420
  6. Step 6: Final answer
    x = 10,428.72

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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.