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Finding the Fourth Proportional to 7,166.50, 9,893.10 and 4,780.44

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Solution

The fourth proportional to 7,166.50, 9,893.10 and 4,780.44 is: 6,599.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,166.50 : 9,893.10 = 4,780.44 : x
  2. Step 2: Convert to fraction form
    7,166.50/9,893.10 = 4,780.44/x
  3. Step 3: Cross multiply
    7,166.50x = 9,893.10 × 4,780.44
  4. Step 4: Simplify right side
    7,166.50x = 47,293,388.89
  5. Step 5: Solve for x
    x = 47,293,388.89/7,166.50
  6. Step 6: Final answer
    x = 6,599.23

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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.