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Finding the Fourth Proportional to 7,782.87, 10,741.26 and 4,333.80

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Solution

The fourth proportional to 7,782.87, 10,741.26 and 4,333.80 is: 5,981.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,782.87 : 10,741.26 = 4,333.80 : x
  2. Step 2: Convert to fraction form
    7,782.87/10,741.26 = 4,333.80/x
  3. Step 3: Cross multiply
    7,782.87x = 10,741.26 × 4,333.80
  4. Step 4: Simplify right side
    7,782.87x = 46,550,499.44
  5. Step 5: Solve for x
    x = 46,550,499.44/7,782.87
  6. Step 6: Final answer
    x = 5,981.15

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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.