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Finding the Fourth Proportional to 4,502.48, 6,213 and 4,172.24

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Solution

The fourth proportional to 4,502.48, 6,213 and 4,172.24 is: 5,757.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,502.48 : 6,213 = 4,172.24 : x
  2. Step 2: Convert to fraction form
    4,502.48/6,213 = 4,172.24/x
  3. Step 3: Cross multiply
    4,502.48x = 6,213 × 4,172.24
  4. Step 4: Simplify right side
    4,502.48x = 25,922,127.12
  5. Step 5: Solve for x
    x = 25,922,127.12/4,502.48
  6. Step 6: Final answer
    x = 5,757.30

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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.