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Finding the Fourth Proportional to 13,763.86, 18,994.02 and 7,476.23

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Solution

The fourth proportional to 13,763.86, 18,994.02 and 7,476.23 is: 10,317.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,763.86 : 18,994.02 = 7,476.23 : x
  2. Step 2: Convert to fraction form
    13,763.86/18,994.02 = 7,476.23/x
  3. Step 3: Cross multiply
    13,763.86x = 18,994.02 × 7,476.23
  4. Step 4: Simplify right side
    13,763.86x = 142,003,624.76
  5. Step 5: Solve for x
    x = 142,003,624.76/13,763.86
  6. Step 6: Final answer
    x = 10,317.14

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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.