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Finding the Fourth Proportional to 13,496, 18,623.94 and 7,527.62

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Solution

The fourth proportional to 13,496, 18,623.94 and 7,527.62 is: 10,387.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,496 : 18,623.94 = 7,527.62 : x
  2. Step 2: Convert to fraction form
    13,496/18,623.94 = 7,527.62/x
  3. Step 3: Cross multiply
    13,496x = 18,623.94 × 7,527.62
  4. Step 4: Simplify right side
    13,496x = 140,193,943.22
  5. Step 5: Solve for x
    x = 140,193,943.22/13,496
  6. Step 6: Final answer
    x = 10,387.81

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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.