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Finding the Fourth Proportional to 30,934.81, 46,402.22 and 7,561.21

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Solution

The fourth proportional to 30,934.81, 46,402.22 and 7,561.21 is: 11,341.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,934.81 : 46,402.22 = 7,561.21 : x
  2. Step 2: Convert to fraction form
    30,934.81/46,402.22 = 7,561.21/x
  3. Step 3: Cross multiply
    30,934.81x = 46,402.22 × 7,561.21
  4. Step 4: Simplify right side
    30,934.81x = 350,856,892.08
  5. Step 5: Solve for x
    x = 350,856,892.08/30,934.81
  6. Step 6: Final answer
    x = 11,341.82

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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.