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Finding the Fourth Proportional to 6,199.48, 9,298.54 and 1,816.98

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Solution

The fourth proportional to 6,199.48, 9,298.54 and 1,816.98 is: 2,725.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,199.48 : 9,298.54 = 1,816.98 : x
  2. Step 2: Convert to fraction form
    6,199.48/9,298.54 = 1,816.98/x
  3. Step 3: Cross multiply
    6,199.48x = 9,298.54 × 1,816.98
  4. Step 4: Simplify right side
    6,199.48x = 16,895,261.21
  5. Step 5: Solve for x
    x = 16,895,261.21/6,199.48
  6. Step 6: Final answer
    x = 2,725.27

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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.