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Finding the Fourth Proportional to 13,643.43, 18,829.02 and 7,674.74

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Solution

The fourth proportional to 13,643.43, 18,829.02 and 7,674.74 is: 10,591.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,643.43 : 18,829.02 = 7,674.74 : x
  2. Step 2: Convert to fraction form
    13,643.43/18,829.02 = 7,674.74/x
  3. Step 3: Cross multiply
    13,643.43x = 18,829.02 × 7,674.74
  4. Step 4: Simplify right side
    13,643.43x = 144,507,832.95
  5. Step 5: Solve for x
    x = 144,507,832.95/13,643.43
  6. Step 6: Final answer
    x = 10,591.75

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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.