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Finding the Fourth Proportional to 13,802.76, 20,713.74 and 6,007.56

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Solution

The fourth proportional to 13,802.76, 20,713.74 and 6,007.56 is: 9,015.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,802.76 : 20,713.74 = 6,007.56 : x
  2. Step 2: Convert to fraction form
    13,802.76/20,713.74 = 6,007.56/x
  3. Step 3: Cross multiply
    13,802.76x = 20,713.74 × 6,007.56
  4. Step 4: Simplify right side
    13,802.76x = 124,439,035.87
  5. Step 5: Solve for x
    x = 124,439,035.87/13,802.76
  6. Step 6: Final answer
    x = 9,015.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.