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Finding the Fourth Proportional to 15,706.75, 23,570.94 and 6,472.75

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Solution

The fourth proportional to 15,706.75, 23,570.94 and 6,472.75 is: 9,713.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,706.75 : 23,570.94 = 6,472.75 : x
  2. Step 2: Convert to fraction form
    15,706.75/23,570.94 = 6,472.75/x
  3. Step 3: Cross multiply
    15,706.75x = 23,570.94 × 6,472.75
  4. Step 4: Simplify right side
    15,706.75x = 152,568,801.89
  5. Step 5: Solve for x
    x = 152,568,801.89/15,706.75
  6. Step 6: Final answer
    x = 9,713.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.