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Finding the Fourth Proportional to 6,598.97, 9,848.89 and 5,705.55

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Solution

The fourth proportional to 6,598.97, 9,848.89 and 5,705.55 is: 8,515.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,598.97 : 9,848.89 = 5,705.55 : x
  2. Step 2: Convert to fraction form
    6,598.97/9,848.89 = 5,705.55/x
  3. Step 3: Cross multiply
    6,598.97x = 9,848.89 × 5,705.55
  4. Step 4: Simplify right side
    6,598.97x = 56,193,334.34
  5. Step 5: Solve for x
    x = 56,193,334.34/6,598.97
  6. Step 6: Final answer
    x = 8,515.47

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.