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Finding the Fourth Proportional to 14,125.16, 19,493.16 and 7,838.12

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Solution

The fourth proportional to 14,125.16, 19,493.16 and 7,838.12 is: 10,816.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,125.16 : 19,493.16 = 7,838.12 : x
  2. Step 2: Convert to fraction form
    14,125.16/19,493.16 = 7,838.12/x
  3. Step 3: Cross multiply
    14,125.16x = 19,493.16 × 7,838.12
  4. Step 4: Simplify right side
    14,125.16x = 152,789,727.26
  5. Step 5: Solve for x
    x = 152,789,727.26/14,125.16
  6. Step 6: Final answer
    x = 10,816.85

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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.