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Finding the Fourth Proportional to 6,515.40, 9,773.01 and 1,585.05

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Solution

The fourth proportional to 6,515.40, 9,773.01 and 1,585.05 is: 2,377.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,515.40 : 9,773.01 = 1,585.05 : x
  2. Step 2: Convert to fraction form
    6,515.40/9,773.01 = 1,585.05/x
  3. Step 3: Cross multiply
    6,515.40x = 9,773.01 × 1,585.05
  4. Step 4: Simplify right side
    6,515.40x = 15,490,705.54
  5. Step 5: Solve for x
    x = 15,490,705.54/6,515.40
  6. Step 6: Final answer
    x = 2,377.55

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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.