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Finding the Fourth Proportional to 13,674.60, 18,869.76 and 7,705.71

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Solution

The fourth proportional to 13,674.60, 18,869.76 and 7,705.71 is: 10,633.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,674.60 : 18,869.76 = 7,705.71 : x
  2. Step 2: Convert to fraction form
    13,674.60/18,869.76 = 7,705.71/x
  3. Step 3: Cross multiply
    13,674.60x = 18,869.76 × 7,705.71
  4. Step 4: Simplify right side
    13,674.60x = 145,404,898.33
  5. Step 5: Solve for x
    x = 145,404,898.33/13,674.60
  6. Step 6: Final answer
    x = 10,633.21

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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.