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Finding the Fourth Proportional to 6,570.70, 9,065.46 and 4,682.60

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Solution

The fourth proportional to 6,570.70, 9,065.46 and 4,682.60 is: 6,460.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,570.70 : 9,065.46 = 4,682.60 : x
  2. Step 2: Convert to fraction form
    6,570.70/9,065.46 = 4,682.60/x
  3. Step 3: Cross multiply
    6,570.70x = 9,065.46 × 4,682.60
  4. Step 4: Simplify right side
    6,570.70x = 42,449,923.00
  5. Step 5: Solve for x
    x = 42,449,923.00/6,570.70
  6. Step 6: Final answer
    x = 6,460.49

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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.