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Finding the Fourth Proportional to 7,762.67, 11,643.70 and 1,919.13

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Solution

The fourth proportional to 7,762.67, 11,643.70 and 1,919.13 is: 2,878.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,762.67 : 11,643.70 = 1,919.13 : x
  2. Step 2: Convert to fraction form
    7,762.67/11,643.70 = 1,919.13/x
  3. Step 3: Cross multiply
    7,762.67x = 11,643.70 × 1,919.13
  4. Step 4: Simplify right side
    7,762.67x = 22,345,773.98
  5. Step 5: Solve for x
    x = 22,345,773.98/7,762.67
  6. Step 6: Final answer
    x = 2,878.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.