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Finding the Fourth Proportional to 30,929.28, 46,372.32 and 9,862.32

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Solution

The fourth proportional to 30,929.28, 46,372.32 and 9,862.32 is: 14,786.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,929.28 : 46,372.32 = 9,862.32 : x
  2. Step 2: Convert to fraction form
    30,929.28/46,372.32 = 9,862.32/x
  3. Step 3: Cross multiply
    30,929.28x = 46,372.32 × 9,862.32
  4. Step 4: Simplify right side
    30,929.28x = 457,338,658.98
  5. Step 5: Solve for x
    x = 457,338,658.98/30,929.28
  6. Step 6: Final answer
    x = 14,786.59

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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.