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Finding the Fourth Proportional to 6,575.07, 9,864 and 1,895.04

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Solution

The fourth proportional to 6,575.07, 9,864 and 1,895.04 is: 2,842.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,575.07 : 9,864 = 1,895.04 : x
  2. Step 2: Convert to fraction form
    6,575.07/9,864 = 1,895.04/x
  3. Step 3: Cross multiply
    6,575.07x = 9,864 × 1,895.04
  4. Step 4: Simplify right side
    6,575.07x = 18,692,674.56
  5. Step 5: Solve for x
    x = 18,692,674.56/6,575.07
  6. Step 6: Final answer
    x = 2,842.96

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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.