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Finding the Fourth Proportional to 9,653.03, 13,324.46 and 5,675.32

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Solution

The fourth proportional to 9,653.03, 13,324.46 and 5,675.32 is: 7,833.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,653.03 : 13,324.46 = 5,675.32 : x
  2. Step 2: Convert to fraction form
    9,653.03/13,324.46 = 5,675.32/x
  3. Step 3: Cross multiply
    9,653.03x = 13,324.46 × 5,675.32
  4. Step 4: Simplify right side
    9,653.03x = 75,620,574.33
  5. Step 5: Solve for x
    x = 75,620,574.33/9,653.03
  6. Step 6: Final answer
    x = 7,833.87

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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.