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Finding the Fourth Proportional to 6,570.19, 9,856.72 and 2,466.19

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Solution

The fourth proportional to 6,570.19, 9,856.72 and 2,466.19 is: 3,699.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,570.19 : 9,856.72 = 2,466.19 : x
  2. Step 2: Convert to fraction form
    6,570.19/9,856.72 = 2,466.19/x
  3. Step 3: Cross multiply
    6,570.19x = 9,856.72 × 2,466.19
  4. Step 4: Simplify right side
    6,570.19x = 24,308,522.74
  5. Step 5: Solve for x
    x = 24,308,522.74/6,570.19
  6. Step 6: Final answer
    x = 3,699.82

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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.