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Finding the Fourth Proportional to 6,980.09, 9,632.48 and 3,836.25

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Solution

The fourth proportional to 6,980.09, 9,632.48 and 3,836.25 is: 5,294.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,980.09 : 9,632.48 = 3,836.25 : x
  2. Step 2: Convert to fraction form
    6,980.09/9,632.48 = 3,836.25/x
  3. Step 3: Cross multiply
    6,980.09x = 9,632.48 × 3,836.25
  4. Step 4: Simplify right side
    6,980.09x = 36,952,582.22
  5. Step 5: Solve for x
    x = 36,952,582.22/6,980.09
  6. Step 6: Final answer
    x = 5,294.00

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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.