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Finding the Fourth Proportional to 14,110.46, 19,472.16 and 7,822.88

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Solution

The fourth proportional to 14,110.46, 19,472.16 and 7,822.88 is: 10,795.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,110.46 : 19,472.16 = 7,822.88 : x
  2. Step 2: Convert to fraction form
    14,110.46/19,472.16 = 7,822.88/x
  3. Step 3: Cross multiply
    14,110.46x = 19,472.16 × 7,822.88
  4. Step 4: Simplify right side
    14,110.46x = 152,328,371.02
  5. Step 5: Solve for x
    x = 152,328,371.02/14,110.46
  6. Step 6: Final answer
    x = 10,795.42

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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.