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Finding the Fourth Proportional to 7,955.93, 10,974.21 and 5,683.07

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Solution

The fourth proportional to 7,955.93, 10,974.21 and 5,683.07 is: 7,839.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,955.93 : 10,974.21 = 5,683.07 : x
  2. Step 2: Convert to fraction form
    7,955.93/10,974.21 = 5,683.07/x
  3. Step 3: Cross multiply
    7,955.93x = 10,974.21 × 5,683.07
  4. Step 4: Simplify right side
    7,955.93x = 62,367,203.62
  5. Step 5: Solve for x
    x = 62,367,203.62/7,955.93
  6. Step 6: Final answer
    x = 7,839.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.