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Finding the Fourth Proportional to 5,843.52, 8,765.10 and 1,460.94

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Solution

The fourth proportional to 5,843.52, 8,765.10 and 1,460.94 is: 2,191.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,843.52 : 8,765.10 = 1,460.94 : x
  2. Step 2: Convert to fraction form
    5,843.52/8,765.10 = 1,460.94/x
  3. Step 3: Cross multiply
    5,843.52x = 8,765.10 × 1,460.94
  4. Step 4: Simplify right side
    5,843.52x = 12,805,285.19
  5. Step 5: Solve for x
    x = 12,805,285.19/5,843.52
  6. Step 6: Final answer
    x = 2,191.36

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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.