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Finding the Fourth Proportional to 7,405.74, 10,223.94 and 5,890.32

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Solution

The fourth proportional to 7,405.74, 10,223.94 and 5,890.32 is: 8,131.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,405.74 : 10,223.94 = 5,890.32 : x
  2. Step 2: Convert to fraction form
    7,405.74/10,223.94 = 5,890.32/x
  3. Step 3: Cross multiply
    7,405.74x = 10,223.94 × 5,890.32
  4. Step 4: Simplify right side
    7,405.74x = 60,222,278.26
  5. Step 5: Solve for x
    x = 60,222,278.26/7,405.74
  6. Step 6: Final answer
    x = 8,131.84

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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.