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Finding the Fourth Proportional to 6,505.92, 9,758.58 and 1,762.26

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Solution

The fourth proportional to 6,505.92, 9,758.58 and 1,762.26 is: 2,643.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,505.92 : 9,758.58 = 1,762.26 : x
  2. Step 2: Convert to fraction form
    6,505.92/9,758.58 = 1,762.26/x
  3. Step 3: Cross multiply
    6,505.92x = 9,758.58 × 1,762.26
  4. Step 4: Simplify right side
    6,505.92x = 17,197,111.99
  5. Step 5: Solve for x
    x = 17,197,111.99/6,505.92
  6. Step 6: Final answer
    x = 2,643.30

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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.