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Finding the Fourth Proportional to 6,827.54, 9,420.05 and 4,703.64

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Solution

The fourth proportional to 6,827.54, 9,420.05 and 4,703.64 is: 6,489.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,827.54 : 9,420.05 = 4,703.64 : x
  2. Step 2: Convert to fraction form
    6,827.54/9,420.05 = 4,703.64/x
  3. Step 3: Cross multiply
    6,827.54x = 9,420.05 × 4,703.64
  4. Step 4: Simplify right side
    6,827.54x = 44,308,553.44
  5. Step 5: Solve for x
    x = 44,308,553.44/6,827.54
  6. Step 6: Final answer
    x = 6,489.68

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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.