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Finding the Fourth Proportional to 6,598.96, 9,897.48 and 2,494

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Solution

The fourth proportional to 6,598.96, 9,897.48 and 2,494 is: 3,740.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,598.96 : 9,897.48 = 2,494 : x
  2. Step 2: Convert to fraction form
    6,598.96/9,897.48 = 2,494/x
  3. Step 3: Cross multiply
    6,598.96x = 9,897.48 × 2,494
  4. Step 4: Simplify right side
    6,598.96x = 24,684,315.12
  5. Step 5: Solve for x
    x = 24,684,315.12/6,598.96
  6. Step 6: Final answer
    x = 3,740.64

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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.