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Finding the Fourth Proportional to 30,897.96, 46,329.32 and 9,833.92

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Solution

The fourth proportional to 30,897.96, 46,329.32 and 9,833.92 is: 14,745.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,897.96 : 46,329.32 = 9,833.92 : x
  2. Step 2: Convert to fraction form
    30,897.96/46,329.32 = 9,833.92/x
  3. Step 3: Cross multiply
    30,897.96x = 46,329.32 × 9,833.92
  4. Step 4: Simplify right side
    30,897.96x = 455,598,826.53
  5. Step 5: Solve for x
    x = 455,598,826.53/30,897.96
  6. Step 6: Final answer
    x = 14,745.27

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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.