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Finding the Fourth Proportional to 6,464.96, 9,698.40 and 2,360

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Solution

The fourth proportional to 6,464.96, 9,698.40 and 2,360 is: 3,540.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,464.96 : 9,698.40 = 2,360 : x
  2. Step 2: Convert to fraction form
    6,464.96/9,698.40 = 2,360/x
  3. Step 3: Cross multiply
    6,464.96x = 9,698.40 × 2,360
  4. Step 4: Simplify right side
    6,464.96x = 22,888,224
  5. Step 5: Solve for x
    x = 22,888,224/6,464.96
  6. Step 6: Final answer
    x = 3,540.35

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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.