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Finding the Fourth Proportional to 14,249.84, 19,664.72 and 7,876.88

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Solution

The fourth proportional to 14,249.84, 19,664.72 and 7,876.88 is: 10,870.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,249.84 : 19,664.72 = 7,876.88 : x
  2. Step 2: Convert to fraction form
    14,249.84/19,664.72 = 7,876.88/x
  3. Step 3: Cross multiply
    14,249.84x = 19,664.72 × 7,876.88
  4. Step 4: Simplify right side
    14,249.84x = 154,896,639.67
  5. Step 5: Solve for x
    x = 154,896,639.67/14,249.84
  6. Step 6: Final answer
    x = 10,870.06

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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.