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Finding the Fourth Proportional to 9,785.51, 13,503.97 and 5,309.25

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Solution

The fourth proportional to 9,785.51, 13,503.97 and 5,309.25 is: 7,326.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,785.51 : 13,503.97 = 5,309.25 : x
  2. Step 2: Convert to fraction form
    9,785.51/13,503.97 = 5,309.25/x
  3. Step 3: Cross multiply
    9,785.51x = 13,503.97 × 5,309.25
  4. Step 4: Simplify right side
    9,785.51x = 71,695,952.72
  5. Step 5: Solve for x
    x = 71,695,952.72/9,785.51
  6. Step 6: Final answer
    x = 7,326.75

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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.