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Finding the Fourth Proportional to 13,415.76, 20,114.46 and 6,829.20

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Solution

The fourth proportional to 13,415.76, 20,114.46 and 6,829.20 is: 10,239.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,415.76 : 20,114.46 = 6,829.20 : x
  2. Step 2: Convert to fraction form
    13,415.76/20,114.46 = 6,829.20/x
  3. Step 3: Cross multiply
    13,415.76x = 20,114.46 × 6,829.20
  4. Step 4: Simplify right side
    13,415.76x = 137,365,670.23
  5. Step 5: Solve for x
    x = 137,365,670.23/13,415.76
  6. Step 6: Final answer
    x = 10,239.13

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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.