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Finding the Fourth Proportional to 4,542.65, 6,294.09 and 4,444.23

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Solution

The fourth proportional to 4,542.65, 6,294.09 and 4,444.23 is: 6,157.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,542.65 : 6,294.09 = 4,444.23 : x
  2. Step 2: Convert to fraction form
    4,542.65/6,294.09 = 4,444.23/x
  3. Step 3: Cross multiply
    4,542.65x = 6,294.09 × 4,444.23
  4. Step 4: Simplify right side
    4,542.65x = 27,972,383.60
  5. Step 5: Solve for x
    x = 27,972,383.60/4,542.65
  6. Step 6: Final answer
    x = 6,157.73

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Double scale
Find fourth proportional to 4,543.65, 6,295.48 and 4,445.23
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.