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Finding the Fourth Proportional to 4,957.98, 7,437.66 and 1,448.24

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Solution

The fourth proportional to 4,957.98, 7,437.66 and 1,448.24 is: 2,172.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,957.98 : 7,437.66 = 1,448.24 : x
  2. Step 2: Convert to fraction form
    4,957.98/7,437.66 = 1,448.24/x
  3. Step 3: Cross multiply
    4,957.98x = 7,437.66 × 1,448.24
  4. Step 4: Simplify right side
    4,957.98x = 10,771,513.04
  5. Step 5: Solve for x
    x = 10,771,513.04/4,957.98
  6. Step 6: Final answer
    x = 2,172.56

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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.