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Finding the Fourth Proportional to 4,984.24, 7,456.20 and 4,164.16

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Solution

The fourth proportional to 4,984.24, 7,456.20 and 4,164.16 is: 6,229.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,984.24 : 7,456.20 = 4,164.16 : x
  2. Step 2: Convert to fraction form
    4,984.24/7,456.20 = 4,164.16/x
  3. Step 3: Cross multiply
    4,984.24x = 7,456.20 × 4,164.16
  4. Step 4: Simplify right side
    4,984.24x = 31,048,809.79
  5. Step 5: Solve for x
    x = 31,048,809.79/4,984.24
  6. Step 6: Final answer
    x = 6,229.40

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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.