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Finding the Fourth Proportional to 12,151.49, 16,768.98 and 6,848.01

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Solution

The fourth proportional to 12,151.49, 16,768.98 and 6,848.01 is: 9,450.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,151.49 : 16,768.98 = 6,848.01 : x
  2. Step 2: Convert to fraction form
    12,151.49/16,768.98 = 6,848.01/x
  3. Step 3: Cross multiply
    12,151.49x = 16,768.98 × 6,848.01
  4. Step 4: Simplify right side
    12,151.49x = 114,834,142.73
  5. Step 5: Solve for x
    x = 114,834,142.73/12,151.49
  6. Step 6: Final answer
    x = 9,450.21

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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.