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Finding the Fourth Proportional to 12,534.65, 17,297.06 and 6,868.27

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Solution

The fourth proportional to 12,534.65, 17,297.06 and 6,868.27 is: 9,477.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,534.65 : 17,297.06 = 6,868.27 : x
  2. Step 2: Convert to fraction form
    12,534.65/17,297.06 = 6,868.27/x
  3. Step 3: Cross multiply
    12,534.65x = 17,297.06 × 6,868.27
  4. Step 4: Simplify right side
    12,534.65x = 118,800,865.57
  5. Step 5: Solve for x
    x = 118,800,865.57/12,534.65
  6. Step 6: Final answer
    x = 9,477.80

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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.