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Finding the Fourth Proportional to 6.35, 9.54 and 4.66

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Solution

The fourth proportional to 6.35, 9.54 and 4.66 is: 7.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.35 : 9.54 = 4.66 : x
  2. Step 2: Convert to fraction form
    6.35/9.54 = 4.66/x
  3. Step 3: Cross multiply
    6.35x = 9.54 × 4.66
  4. Step 4: Simplify right side
    6.35x = 44.45
  5. Step 5: Solve for x
    x = 44.45/6.35
  6. Step 6: Final answer
    x = 7.00

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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.