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Finding the Fourth Proportional to 5,294.34, 7,940.20 and 1,783.42

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Solution

The fourth proportional to 5,294.34, 7,940.20 and 1,783.42 is: 2,674.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,294.34 : 7,940.20 = 1,783.42 : x
  2. Step 2: Convert to fraction form
    5,294.34/7,940.20 = 1,783.42/x
  3. Step 3: Cross multiply
    5,294.34x = 7,940.20 × 1,783.42
  4. Step 4: Simplify right side
    5,294.34x = 14,160,695.53
  5. Step 5: Solve for x
    x = 14,160,695.53/5,294.34
  6. Step 6: Final answer
    x = 2,674.69

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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.