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Finding the Fourth Proportional to 31,004.63, 46,506.94 and 9,116.63

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Solution

The fourth proportional to 31,004.63, 46,506.94 and 9,116.63 is: 13,674.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,004.63 : 46,506.94 = 9,116.63 : x
  2. Step 2: Convert to fraction form
    31,004.63/46,506.94 = 9,116.63/x
  3. Step 3: Cross multiply
    31,004.63x = 46,506.94 × 9,116.63
  4. Step 4: Simplify right side
    31,004.63x = 423,986,309.09
  5. Step 5: Solve for x
    x = 423,986,309.09/31,004.63
  6. Step 6: Final answer
    x = 13,674.94

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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.