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Finding the Fourth Proportional to 30,676.86, 46,020.15 and 9,895.50

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Solution

The fourth proportional to 30,676.86, 46,020.15 and 9,895.50 is: 14,844.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,676.86 : 46,020.15 = 9,895.50 : x
  2. Step 2: Convert to fraction form
    30,676.86/46,020.15 = 9,895.50/x
  3. Step 3: Cross multiply
    30,676.86x = 46,020.15 × 9,895.50
  4. Step 4: Simplify right side
    30,676.86x = 455,392,394.33
  5. Step 5: Solve for x
    x = 455,392,394.33/30,676.86
  6. Step 6: Final answer
    x = 14,844.82

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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.