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Finding the Fourth Proportional to 6,998.88, 9,661.76 and 4,484.64

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Solution

The fourth proportional to 6,998.88, 9,661.76 and 4,484.64 is: 6,190.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,998.88 : 9,661.76 = 4,484.64 : x
  2. Step 2: Convert to fraction form
    6,998.88/9,661.76 = 4,484.64/x
  3. Step 3: Cross multiply
    6,998.88x = 9,661.76 × 4,484.64
  4. Step 4: Simplify right side
    6,998.88x = 43,329,515.37
  5. Step 5: Solve for x
    x = 43,329,515.37/6,998.88
  6. Step 6: Final answer
    x = 6,190.92

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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.