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Finding the Fourth Proportional to 30,604.69, 45,914.13 and 9,543.61

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Solution

The fourth proportional to 30,604.69, 45,914.13 and 9,543.61 is: 14,317.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,604.69 : 45,914.13 = 9,543.61 : x
  2. Step 2: Convert to fraction form
    30,604.69/45,914.13 = 9,543.61/x
  3. Step 3: Cross multiply
    30,604.69x = 45,914.13 × 9,543.61
  4. Step 4: Simplify right side
    30,604.69x = 438,186,502.49
  5. Step 5: Solve for x
    x = 438,186,502.49/30,604.69
  6. Step 6: Final answer
    x = 14,317.63

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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.