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Finding the Fourth Proportional to 9,682.36, 13,366.08 and 7,443.45

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Solution

The fourth proportional to 9,682.36, 13,366.08 and 7,443.45 is: 10,275.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,682.36 : 13,366.08 = 7,443.45 : x
  2. Step 2: Convert to fraction form
    9,682.36/13,366.08 = 7,443.45/x
  3. Step 3: Cross multiply
    9,682.36x = 13,366.08 × 7,443.45
  4. Step 4: Simplify right side
    9,682.36x = 99,489,748.18
  5. Step 5: Solve for x
    x = 99,489,748.18/9,682.36
  6. Step 6: Final answer
    x = 10,275.36

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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.