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Finding the Fourth Proportional to 7,783.14, 10,741.03 and 4,426.26

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Solution

The fourth proportional to 7,783.14, 10,741.03 and 4,426.26 is: 6,108.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,783.14 : 10,741.03 = 4,426.26 : x
  2. Step 2: Convert to fraction form
    7,783.14/10,741.03 = 4,426.26/x
  3. Step 3: Cross multiply
    7,783.14x = 10,741.03 × 4,426.26
  4. Step 4: Simplify right side
    7,783.14x = 47,542,591.45
  5. Step 5: Solve for x
    x = 47,542,591.45/7,783.14
  6. Step 6: Final answer
    x = 6,108.41

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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.