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Finding the Fourth Proportional to 13,697.51, 20,549.05 and 6,197.46

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Solution

The fourth proportional to 13,697.51, 20,549.05 and 6,197.46 is: 9,297.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,697.51 : 20,549.05 = 6,197.46 : x
  2. Step 2: Convert to fraction form
    13,697.51/20,549.05 = 6,197.46/x
  3. Step 3: Cross multiply
    13,697.51x = 20,549.05 × 6,197.46
  4. Step 4: Simplify right side
    13,697.51x = 127,351,884.43
  5. Step 5: Solve for x
    x = 127,351,884.43/13,697.51
  6. Step 6: Final answer
    x = 9,297.45

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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.