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Finding the Fourth Proportional to 9,682.65, 13,361.64 and 5,703.93

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Solution

The fourth proportional to 9,682.65, 13,361.64 and 5,703.93 is: 7,871.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,682.65 : 13,361.64 = 5,703.93 : x
  2. Step 2: Convert to fraction form
    9,682.65/13,361.64 = 5,703.93/x
  3. Step 3: Cross multiply
    9,682.65x = 13,361.64 × 5,703.93
  4. Step 4: Simplify right side
    9,682.65x = 76,213,859.25
  5. Step 5: Solve for x
    x = 76,213,859.25/9,682.65
  6. Step 6: Final answer
    x = 7,871.18

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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.