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Finding the Fourth Proportional to 30,682.86, 46,014.30 and 9,901.50

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Solution

The fourth proportional to 30,682.86, 46,014.30 and 9,901.50 is: 14,849.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,682.86 : 46,014.30 = 9,901.50 : x
  2. Step 2: Convert to fraction form
    30,682.86/46,014.30 = 9,901.50/x
  3. Step 3: Cross multiply
    30,682.86x = 46,014.30 × 9,901.50
  4. Step 4: Simplify right side
    30,682.86x = 455,610,591.45
  5. Step 5: Solve for x
    x = 455,610,591.45/30,682.86
  6. Step 6: Final answer
    x = 14,849.03

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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.