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Finding the Fourth Proportional to 6,598.36, 9,897.84 and 3,674.47

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Solution

The fourth proportional to 6,598.36, 9,897.84 and 3,674.47 is: 5,511.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,598.36 : 9,897.84 = 3,674.47 : x
  2. Step 2: Convert to fraction form
    6,598.36/9,897.84 = 3,674.47/x
  3. Step 3: Cross multiply
    6,598.36x = 9,897.84 × 3,674.47
  4. Step 4: Simplify right side
    6,598.36x = 36,369,266.66
  5. Step 5: Solve for x
    x = 36,369,266.66/6,598.36
  6. Step 6: Final answer
    x = 5,511.87

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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.