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Finding the Fourth Proportional to 7,755, 10,701.76 and 4,218.16

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Solution

The fourth proportional to 7,755, 10,701.76 and 4,218.16 is: 5,820.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,755 : 10,701.76 = 4,218.16 : x
  2. Step 2: Convert to fraction form
    7,755/10,701.76 = 4,218.16/x
  3. Step 3: Cross multiply
    7,755x = 10,701.76 × 4,218.16
  4. Step 4: Simplify right side
    7,755x = 45,141,735.96
  5. Step 5: Solve for x
    x = 45,141,735.96/7,755
  6. Step 6: Final answer
    x = 5,820.98

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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.