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Finding the Fourth Proportional to 11,782.77, 17,674.14 and 3,017.70

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Solution

The fourth proportional to 11,782.77, 17,674.14 and 3,017.70 is: 4,526.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,782.77 : 17,674.14 = 3,017.70 : x
  2. Step 2: Convert to fraction form
    11,782.77/17,674.14 = 3,017.70/x
  3. Step 3: Cross multiply
    11,782.77x = 17,674.14 × 3,017.70
  4. Step 4: Simplify right side
    11,782.77x = 53,335,252.28
  5. Step 5: Solve for x
    x = 53,335,252.28/11,782.77
  6. Step 6: Final answer
    x = 4,526.55

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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.