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Finding the Fourth Proportional to 5,942.95, 8,914.47 and 1,782.99

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Solution

The fourth proportional to 5,942.95, 8,914.47 and 1,782.99 is: 2,674.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,942.95 : 8,914.47 = 1,782.99 : x
  2. Step 2: Convert to fraction form
    5,942.95/8,914.47 = 1,782.99/x
  3. Step 3: Cross multiply
    5,942.95x = 8,914.47 × 1,782.99
  4. Step 4: Simplify right side
    5,942.95x = 15,894,410.87
  5. Step 5: Solve for x
    x = 15,894,410.87/5,942.95
  6. Step 6: Final answer
    x = 2,674.50

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.