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Finding the Fourth Proportional to 7,755.96, 10,702.91 and 4,219.19

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Solution

The fourth proportional to 7,755.96, 10,702.91 and 4,219.19 is: 5,822.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,755.96 : 10,702.91 = 4,219.19 : x
  2. Step 2: Convert to fraction form
    7,755.96/10,702.91 = 4,219.19/x
  3. Step 3: Cross multiply
    7,755.96x = 10,702.91 × 4,219.19
  4. Step 4: Simplify right side
    7,755.96x = 45,157,567.88
  5. Step 5: Solve for x
    x = 45,157,567.88/7,755.96
  6. Step 6: Final answer
    x = 5,822.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.