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Finding the Fourth Proportional to 13,710.70, 18,920.61 and 7,742.62

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Solution

The fourth proportional to 13,710.70, 18,920.61 and 7,742.62 is: 10,684.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,710.70 : 18,920.61 = 7,742.62 : x
  2. Step 2: Convert to fraction form
    13,710.70/18,920.61 = 7,742.62/x
  3. Step 3: Cross multiply
    13,710.70x = 18,920.61 × 7,742.62
  4. Step 4: Simplify right side
    13,710.70x = 146,495,093.40
  5. Step 5: Solve for x
    x = 146,495,093.40/13,710.70
  6. Step 6: Final answer
    x = 10,684.73

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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.