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Finding the Fourth Proportional to 7,090.92, 9,787.48 and 5,684.36

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Solution

The fourth proportional to 7,090.92, 9,787.48 and 5,684.36 is: 7,846.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,090.92 : 9,787.48 = 5,684.36 : x
  2. Step 2: Convert to fraction form
    7,090.92/9,787.48 = 5,684.36/x
  3. Step 3: Cross multiply
    7,090.92x = 9,787.48 × 5,684.36
  4. Step 4: Simplify right side
    7,090.92x = 55,635,559.81
  5. Step 5: Solve for x
    x = 55,635,559.81/7,090.92
  6. Step 6: Final answer
    x = 7,846.03

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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.