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Finding the Fourth Proportional to 13,812.96, 19,061.52 and 7,524.96

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Solution

The fourth proportional to 13,812.96, 19,061.52 and 7,524.96 is: 10,384.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,812.96 : 19,061.52 = 7,524.96 : x
  2. Step 2: Convert to fraction form
    13,812.96/19,061.52 = 7,524.96/x
  3. Step 3: Cross multiply
    13,812.96x = 19,061.52 × 7,524.96
  4. Step 4: Simplify right side
    13,812.96x = 143,437,175.54
  5. Step 5: Solve for x
    x = 143,437,175.54/13,812.96
  6. Step 6: Final answer
    x = 10,384.25

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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.