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Finding the Fourth Proportional to 15,297.15, 22,952.36 and 8,282.15

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Solution

The fourth proportional to 15,297.15, 22,952.36 and 8,282.15 is: 12,426.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,297.15 : 22,952.36 = 8,282.15 : x
  2. Step 2: Convert to fraction form
    15,297.15/22,952.36 = 8,282.15/x
  3. Step 3: Cross multiply
    15,297.15x = 22,952.36 × 8,282.15
  4. Step 4: Simplify right side
    15,297.15x = 190,094,880.39
  5. Step 5: Solve for x
    x = 190,094,880.39/15,297.15
  6. Step 6: Final answer
    x = 12,426.81

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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.