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Finding the Fourth Proportional to 11,744.80, 16,209.12 and 7,030.24

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Solution

The fourth proportional to 11,744.80, 16,209.12 and 7,030.24 is: 9,702.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,744.80 : 16,209.12 = 7,030.24 : x
  2. Step 2: Convert to fraction form
    11,744.80/16,209.12 = 7,030.24/x
  3. Step 3: Cross multiply
    11,744.80x = 16,209.12 × 7,030.24
  4. Step 4: Simplify right side
    11,744.80x = 113,954,003.79
  5. Step 5: Solve for x
    x = 113,954,003.79/11,744.80
  6. Step 6: Final answer
    x = 9,702.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.