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Finding the Fourth Proportional to 6,846.75, 10,270.15 and 1,652.63

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Solution

The fourth proportional to 6,846.75, 10,270.15 and 1,652.63 is: 2,478.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,846.75 : 10,270.15 = 1,652.63 : x
  2. Step 2: Convert to fraction form
    6,846.75/10,270.15 = 1,652.63/x
  3. Step 3: Cross multiply
    6,846.75x = 10,270.15 × 1,652.63
  4. Step 4: Simplify right side
    6,846.75x = 16,972,702.51
  5. Step 5: Solve for x
    x = 16,972,702.51/6,846.75
  6. Step 6: Final answer
    x = 2,478.94

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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.