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Finding the Fourth Proportional to 7,551.33, 10,420.71 and 4,194.09

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Solution

The fourth proportional to 7,551.33, 10,420.71 and 4,194.09 is: 5,787.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,551.33 : 10,420.71 = 4,194.09 : x
  2. Step 2: Convert to fraction form
    7,551.33/10,420.71 = 4,194.09/x
  3. Step 3: Cross multiply
    7,551.33x = 10,420.71 × 4,194.09
  4. Step 4: Simplify right side
    7,551.33x = 43,705,395.60
  5. Step 5: Solve for x
    x = 43,705,395.60/7,551.33
  6. Step 6: Final answer
    x = 5,787.77

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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.