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Finding the Fourth Proportional to 13,803.73, 19,051.65 and 8,138.17

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Solution

The fourth proportional to 13,803.73, 19,051.65 and 8,138.17 is: 11,232.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,803.73 : 19,051.65 = 8,138.17 : x
  2. Step 2: Convert to fraction form
    13,803.73/19,051.65 = 8,138.17/x
  3. Step 3: Cross multiply
    13,803.73x = 19,051.65 × 8,138.17
  4. Step 4: Simplify right side
    13,803.73x = 155,045,566.48
  5. Step 5: Solve for x
    x = 155,045,566.48/13,803.73
  6. Step 6: Final answer
    x = 11,232.15

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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.