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Finding the Fourth Proportional to 14,125.88, 19,494.32 and 7,838.25

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Solution

The fourth proportional to 14,125.88, 19,494.32 and 7,838.25 is: 10,817.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,125.88 : 19,494.32 = 7,838.25 : x
  2. Step 2: Convert to fraction form
    14,125.88/19,494.32 = 7,838.25/x
  3. Step 3: Cross multiply
    14,125.88x = 19,494.32 × 7,838.25
  4. Step 4: Simplify right side
    14,125.88x = 152,801,314.55
  5. Step 5: Solve for x
    x = 152,801,314.55/14,125.88
  6. Step 6: Final answer
    x = 10,817.12

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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.