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Finding the Fourth Proportional to 6,570.25, 9,066.96 and 4,215.58

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Solution

The fourth proportional to 6,570.25, 9,066.96 and 4,215.58 is: 5,817.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,570.25 : 9,066.96 = 4,215.58 : x
  2. Step 2: Convert to fraction form
    6,570.25/9,066.96 = 4,215.58/x
  3. Step 3: Cross multiply
    6,570.25x = 9,066.96 × 4,215.58
  4. Step 4: Simplify right side
    6,570.25x = 38,222,495.24
  5. Step 5: Solve for x
    x = 38,222,495.24/6,570.25
  6. Step 6: Final answer
    x = 5,817.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.