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Finding the Fourth Proportional to 9,674.44, 13,265.81 and 9,582.28

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Solution

The fourth proportional to 9,674.44, 13,265.81 and 9,582.28 is: 13,139.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,674.44 : 13,265.81 = 9,582.28 : x
  2. Step 2: Convert to fraction form
    9,674.44/13,265.81 = 9,582.28/x
  3. Step 3: Cross multiply
    9,674.44x = 13,265.81 × 9,582.28
  4. Step 4: Simplify right side
    9,674.44x = 127,116,705.85
  5. Step 5: Solve for x
    x = 127,116,705.85/9,674.44
  6. Step 6: Final answer
    x = 13,139.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.