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Finding the Fourth Proportional to 15,297.84, 22,927.32 and 8,364.24

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Solution

The fourth proportional to 15,297.84, 22,927.32 and 8,364.24 is: 12,535.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,297.84 : 22,927.32 = 8,364.24 : x
  2. Step 2: Convert to fraction form
    15,297.84/22,927.32 = 8,364.24/x
  3. Step 3: Cross multiply
    15,297.84x = 22,927.32 × 8,364.24
  4. Step 4: Simplify right side
    15,297.84x = 191,769,607.04
  5. Step 5: Solve for x
    x = 191,769,607.04/15,297.84
  6. Step 6: Final answer
    x = 12,535.73

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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.