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Finding the Fourth Proportional to 6,140.65, 9,210.75 and 1,758.10

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Solution

The fourth proportional to 6,140.65, 9,210.75 and 1,758.10 is: 2,637.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,140.65 : 9,210.75 = 1,758.10 : x
  2. Step 2: Convert to fraction form
    6,140.65/9,210.75 = 1,758.10/x
  3. Step 3: Cross multiply
    6,140.65x = 9,210.75 × 1,758.10
  4. Step 4: Simplify right side
    6,140.65x = 16,193,419.58
  5. Step 5: Solve for x
    x = 16,193,419.58/6,140.65
  6. Step 6: Final answer
    x = 2,637.09

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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.