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Finding the Fourth Proportional to 30,952.52, 46,434.24 and 9,894.44

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Solution

The fourth proportional to 30,952.52, 46,434.24 and 9,894.44 is: 14,843.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,952.52 : 46,434.24 = 9,894.44 : x
  2. Step 2: Convert to fraction form
    30,952.52/46,434.24 = 9,894.44/x
  3. Step 3: Cross multiply
    30,952.52x = 46,434.24 × 9,894.44
  4. Step 4: Simplify right side
    30,952.52x = 459,440,801.63
  5. Step 5: Solve for x
    x = 459,440,801.63/30,952.52
  6. Step 6: Final answer
    x = 14,843.41

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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.