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Finding the Fourth Proportional to 4,975.23, 7,473.70 and 4,809.15

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Solution

The fourth proportional to 4,975.23, 7,473.70 and 4,809.15 is: 7,224.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,975.23 : 7,473.70 = 4,809.15 : x
  2. Step 2: Convert to fraction form
    4,975.23/7,473.70 = 4,809.15/x
  3. Step 3: Cross multiply
    4,975.23x = 7,473.70 × 4,809.15
  4. Step 4: Simplify right side
    4,975.23x = 35,942,144.36
  5. Step 5: Solve for x
    x = 35,942,144.36/4,975.23
  6. Step 6: Final answer
    x = 7,224.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.