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Finding the Fourth Proportional to 13,602.16, 20,388.84 and 7,746.22

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Solution

The fourth proportional to 13,602.16, 20,388.84 and 7,746.22 is: 11,611.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,602.16 : 20,388.84 = 7,746.22 : x
  2. Step 2: Convert to fraction form
    13,602.16/20,388.84 = 7,746.22/x
  3. Step 3: Cross multiply
    13,602.16x = 20,388.84 × 7,746.22
  4. Step 4: Simplify right side
    13,602.16x = 157,936,440.18
  5. Step 5: Solve for x
    x = 157,936,440.18/13,602.16
  6. Step 6: Final answer
    x = 11,611.13

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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.