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Finding the Fourth Proportional to 7,144.87, 9,859.91 and 4,001.06

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Solution

The fourth proportional to 7,144.87, 9,859.91 and 4,001.06 is: 5,521.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,144.87 : 9,859.91 = 4,001.06 : x
  2. Step 2: Convert to fraction form
    7,144.87/9,859.91 = 4,001.06/x
  3. Step 3: Cross multiply
    7,144.87x = 9,859.91 × 4,001.06
  4. Step 4: Simplify right side
    7,144.87x = 39,450,071.50
  5. Step 5: Solve for x
    x = 39,450,071.50/7,144.87
  6. Step 6: Final answer
    x = 5,521.45

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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.