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Finding the Fourth Proportional to 6,520.84, 9,774.60 and 2,570.52

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Solution

The fourth proportional to 6,520.84, 9,774.60 and 2,570.52 is: 3,853.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,520.84 : 9,774.60 = 2,570.52 : x
  2. Step 2: Convert to fraction form
    6,520.84/9,774.60 = 2,570.52/x
  3. Step 3: Cross multiply
    6,520.84x = 9,774.60 × 2,570.52
  4. Step 4: Simplify right side
    6,520.84x = 25,125,804.79
  5. Step 5: Solve for x
    x = 25,125,804.79/6,520.84
  6. Step 6: Final answer
    x = 3,853.15

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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.