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Finding the Fourth Proportional to 5,941.50, 8,911.72 and 1,782.44

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Solution

The fourth proportional to 5,941.50, 8,911.72 and 1,782.44 is: 2,673.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,941.50 : 8,911.72 = 1,782.44 : x
  2. Step 2: Convert to fraction form
    5,941.50/8,911.72 = 1,782.44/x
  3. Step 3: Cross multiply
    5,941.50x = 8,911.72 × 1,782.44
  4. Step 4: Simplify right side
    5,941.50x = 15,884,597.29
  5. Step 5: Solve for x
    x = 15,884,597.29/5,941.50
  6. Step 6: Final answer
    x = 2,673.50

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Double scale
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Similar ratio
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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.