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Finding the Fourth Proportional to 6,706.50, 10,010.54 and 6,211.69

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Solution

The fourth proportional to 6,706.50, 10,010.54 and 6,211.69 is: 9,271.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,706.50 : 10,010.54 = 6,211.69 : x
  2. Step 2: Convert to fraction form
    6,706.50/10,010.54 = 6,211.69/x
  3. Step 3: Cross multiply
    6,706.50x = 10,010.54 × 6,211.69
  4. Step 4: Simplify right side
    6,706.50x = 62,182,326.77
  5. Step 5: Solve for x
    x = 62,182,326.77/6,706.50
  6. Step 6: Final answer
    x = 9,271.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.