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Finding the Fourth Proportional to 30,672.70, 46,009.05 and 9,896.20

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Solution

The fourth proportional to 30,672.70, 46,009.05 and 9,896.20 is: 14,844.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,672.70 : 46,009.05 = 9,896.20 : x
  2. Step 2: Convert to fraction form
    30,672.70/46,009.05 = 9,896.20/x
  3. Step 3: Cross multiply
    30,672.70x = 46,009.05 × 9,896.20
  4. Step 4: Simplify right side
    30,672.70x = 455,314,760.61
  5. Step 5: Solve for x
    x = 455,314,760.61/30,672.70
  6. Step 6: Final answer
    x = 14,844.30

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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.