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Finding the Fourth Proportional to 30,981.05, 46,471.73 and 7,607.49

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Solution

The fourth proportional to 30,981.05, 46,471.73 and 7,607.49 is: 11,411.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,981.05 : 46,471.73 = 7,607.49 : x
  2. Step 2: Convert to fraction form
    30,981.05/46,471.73 = 7,607.49/x
  3. Step 3: Cross multiply
    30,981.05x = 46,471.73 × 7,607.49
  4. Step 4: Simplify right side
    30,981.05x = 353,533,183.22
  5. Step 5: Solve for x
    x = 353,533,183.22/30,981.05
  6. Step 6: Final answer
    x = 11,411.27

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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.