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Finding the Fourth Proportional to 4,747.62, 6,547.98 and 4,429.31

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Solution

The fourth proportional to 4,747.62, 6,547.98 and 4,429.31 is: 6,108.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,747.62 : 6,547.98 = 4,429.31 : x
  2. Step 2: Convert to fraction form
    4,747.62/6,547.98 = 4,429.31/x
  3. Step 3: Cross multiply
    4,747.62x = 6,547.98 × 4,429.31
  4. Step 4: Simplify right side
    4,747.62x = 29,003,049.66
  5. Step 5: Solve for x
    x = 29,003,049.66/4,747.62
  6. Step 6: Final answer
    x = 6,108.97

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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.