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Finding the Fourth Proportional to 12,271.16, 16,927.44 and 8,297.84

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Solution

The fourth proportional to 12,271.16, 16,927.44 and 8,297.84 is: 11,446.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,271.16 : 16,927.44 = 8,297.84 : x
  2. Step 2: Convert to fraction form
    12,271.16/16,927.44 = 8,297.84/x
  3. Step 3: Cross multiply
    12,271.16x = 16,927.44 × 8,297.84
  4. Step 4: Simplify right side
    12,271.16x = 140,461,188.73
  5. Step 5: Solve for x
    x = 140,461,188.73/12,271.16
  6. Step 6: Final answer
    x = 11,446.45

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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.