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Finding the Fourth Proportional to 7,297.75, 10,070.90 and 4,153.94

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Solution

The fourth proportional to 7,297.75, 10,070.90 and 4,153.94 is: 5,732.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,297.75 : 10,070.90 = 4,153.94 : x
  2. Step 2: Convert to fraction form
    7,297.75/10,070.90 = 4,153.94/x
  3. Step 3: Cross multiply
    7,297.75x = 10,070.90 × 4,153.94
  4. Step 4: Simplify right side
    7,297.75x = 41,833,914.35
  5. Step 5: Solve for x
    x = 41,833,914.35/7,297.75
  6. Step 6: Final answer
    x = 5,732.44

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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.