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Finding the Fourth Proportional to 7,027.42, 9,699.46 and 4,044.98

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Solution

The fourth proportional to 7,027.42, 9,699.46 and 4,044.98 is: 5,583.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,027.42 : 9,699.46 = 4,044.98 : x
  2. Step 2: Convert to fraction form
    7,027.42/9,699.46 = 4,044.98/x
  3. Step 3: Cross multiply
    7,027.42x = 9,699.46 × 4,044.98
  4. Step 4: Simplify right side
    7,027.42x = 39,234,121.71
  5. Step 5: Solve for x
    x = 39,234,121.71/7,027.42
  6. Step 6: Final answer
    x = 5,583.01

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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.