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Finding the Fourth Proportional to 7,804.53, 11,683.73 and 5,022.99

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Solution

The fourth proportional to 7,804.53, 11,683.73 and 5,022.99 is: 7,519.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,804.53 : 11,683.73 = 5,022.99 : x
  2. Step 2: Convert to fraction form
    7,804.53/11,683.73 = 5,022.99/x
  3. Step 3: Cross multiply
    7,804.53x = 11,683.73 × 5,022.99
  4. Step 4: Simplify right side
    7,804.53x = 58,687,233.84
  5. Step 5: Solve for x
    x = 58,687,233.84/7,804.53
  6. Step 6: Final answer
    x = 7,519.64

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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.