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Finding the Fourth Proportional to 30,835.27, 46,253.13 and 7,461.70

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Solution

The fourth proportional to 30,835.27, 46,253.13 and 7,461.70 is: 11,192.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,835.27 : 46,253.13 = 7,461.70 : x
  2. Step 2: Convert to fraction form
    30,835.27/46,253.13 = 7,461.70/x
  3. Step 3: Cross multiply
    30,835.27x = 46,253.13 × 7,461.70
  4. Step 4: Simplify right side
    30,835.27x = 345,127,096.68
  5. Step 5: Solve for x
    x = 345,127,096.68/30,835.27
  6. Step 6: Final answer
    x = 11,192.61

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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.