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Finding the Fourth Proportional to 4,861.24, 7,292.58 and 1,783

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Solution

The fourth proportional to 4,861.24, 7,292.58 and 1,783 is: 2,674.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,861.24 : 7,292.58 = 1,783 : x
  2. Step 2: Convert to fraction form
    4,861.24/7,292.58 = 1,783/x
  3. Step 3: Cross multiply
    4,861.24x = 7,292.58 × 1,783
  4. Step 4: Simplify right side
    4,861.24x = 13,002,670.14
  5. Step 5: Solve for x
    x = 13,002,670.14/4,861.24
  6. Step 6: Final answer
    x = 2,674.76

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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.