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Finding the Fourth Proportional to 17,777.25, 24,532.25 and 9,711

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Solution

The fourth proportional to 17,777.25, 24,532.25 and 9,711 is: 13,400.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,777.25 : 24,532.25 = 9,711 : x
  2. Step 2: Convert to fraction form
    17,777.25/24,532.25 = 9,711/x
  3. Step 3: Cross multiply
    17,777.25x = 24,532.25 × 9,711
  4. Step 4: Simplify right side
    17,777.25x = 238,232,631.20
  5. Step 5: Solve for x
    x = 238,232,631.20/17,777.25
  6. Step 6: Final answer
    x = 13,400.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.