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Finding the Fourth Proportional to 7,783.97, 10,741.95 and 4,247.24

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Solution

The fourth proportional to 7,783.97, 10,741.95 and 4,247.24 is: 5,861.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,783.97 : 10,741.95 = 4,247.24 : x
  2. Step 2: Convert to fraction form
    7,783.97/10,741.95 = 4,247.24/x
  3. Step 3: Cross multiply
    7,783.97x = 10,741.95 × 4,247.24
  4. Step 4: Simplify right side
    7,783.97x = 45,623,586.01
  5. Step 5: Solve for x
    x = 45,623,586.01/7,783.97
  6. Step 6: Final answer
    x = 5,861.23

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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.