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Finding the Fourth Proportional to 9,698.55, 13,383.65 and 5,928.03

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Solution

The fourth proportional to 9,698.55, 13,383.65 and 5,928.03 is: 8,180.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,698.55 : 13,383.65 = 5,928.03 : x
  2. Step 2: Convert to fraction form
    9,698.55/13,383.65 = 5,928.03/x
  3. Step 3: Cross multiply
    9,698.55x = 13,383.65 × 5,928.03
  4. Step 4: Simplify right side
    9,698.55x = 79,338,649.07
  5. Step 5: Solve for x
    x = 79,338,649.07/9,698.55
  6. Step 6: Final answer
    x = 8,180.47

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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.