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Finding the Fourth Proportional to 4,983.24, 7,475.94 and 1,520.76

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Solution

The fourth proportional to 4,983.24, 7,475.94 and 1,520.76 is: 2,281.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,983.24 : 7,475.94 = 1,520.76 : x
  2. Step 2: Convert to fraction form
    4,983.24/7,475.94 = 1,520.76/x
  3. Step 3: Cross multiply
    4,983.24x = 7,475.94 × 1,520.76
  4. Step 4: Simplify right side
    4,983.24x = 11,369,110.51
  5. Step 5: Solve for x
    x = 11,369,110.51/4,983.24
  6. Step 6: Final answer
    x = 2,281.47

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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.