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Finding the Fourth Proportional to 6,598.27, 9,897.53 and 3,086.34

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Solution

The fourth proportional to 6,598.27, 9,897.53 and 3,086.34 is: 4,629.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,598.27 : 9,897.53 = 3,086.34 : x
  2. Step 2: Convert to fraction form
    6,598.27/9,897.53 = 3,086.34/x
  3. Step 3: Cross multiply
    6,598.27x = 9,897.53 × 3,086.34
  4. Step 4: Simplify right side
    6,598.27x = 30,547,142.74
  5. Step 5: Solve for x
    x = 30,547,142.74/6,598.27
  6. Step 6: Final answer
    x = 4,629.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.