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Finding the Fourth Proportional to 9,955.64, 13,738.78 and 5,763.80

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Solution

The fourth proportional to 9,955.64, 13,738.78 and 5,763.80 is: 7,954.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,955.64 : 13,738.78 = 5,763.80 : x
  2. Step 2: Convert to fraction form
    9,955.64/13,738.78 = 5,763.80/x
  3. Step 3: Cross multiply
    9,955.64x = 13,738.78 × 5,763.80
  4. Step 4: Simplify right side
    9,955.64x = 79,187,580.16
  5. Step 5: Solve for x
    x = 79,187,580.16/9,955.64
  6. Step 6: Final answer
    x = 7,954.04

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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.