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Finding the Fourth Proportional to 30,971.93, 46,460.96 and 9,906.68

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Solution

The fourth proportional to 30,971.93, 46,460.96 and 9,906.68 is: 14,861.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,971.93 : 46,460.96 = 9,906.68 : x
  2. Step 2: Convert to fraction form
    30,971.93/46,460.96 = 9,906.68/x
  3. Step 3: Cross multiply
    30,971.93x = 46,460.96 × 9,906.68
  4. Step 4: Simplify right side
    30,971.93x = 460,273,836.31
  5. Step 5: Solve for x
    x = 460,273,836.31/30,971.93
  6. Step 6: Final answer
    x = 14,861.00

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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.