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Finding the Fourth Proportional to 30,910.35, 46,365.02 and 9,850.10

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Solution

The fourth proportional to 30,910.35, 46,365.02 and 9,850.10 is: 14,774.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,910.35 : 46,365.02 = 9,850.10 : x
  2. Step 2: Convert to fraction form
    30,910.35/46,365.02 = 9,850.10/x
  3. Step 3: Cross multiply
    30,910.35x = 46,365.02 × 9,850.10
  4. Step 4: Simplify right side
    30,910.35x = 456,700,150.16
  5. Step 5: Solve for x
    x = 456,700,150.16/30,910.35
  6. Step 6: Final answer
    x = 14,774.99

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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.