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Finding the Fourth Proportional to 21,497.25, 32,234.25 and 7,456.25

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Solution

The fourth proportional to 21,497.25, 32,234.25 and 7,456.25 is: 11,180.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,497.25 : 32,234.25 = 7,456.25 : x
  2. Step 2: Convert to fraction form
    21,497.25/32,234.25 = 7,456.25/x
  3. Step 3: Cross multiply
    21,497.25x = 32,234.25 × 7,456.25
  4. Step 4: Simplify right side
    21,497.25x = 240,346,465.39
  5. Step 5: Solve for x
    x = 240,346,465.39/21,497.25
  6. Step 6: Final answer
    x = 11,180.34

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1.5x scale

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.