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Finding the Fourth Proportional to 10,069.70, 13,907.82 and 6,706.98

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Solution

The fourth proportional to 10,069.70, 13,907.82 and 6,706.98 is: 9,263.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,069.70 : 13,907.82 = 6,706.98 : x
  2. Step 2: Convert to fraction form
    10,069.70/13,907.82 = 6,706.98/x
  3. Step 3: Cross multiply
    10,069.70x = 13,907.82 × 6,706.98
  4. Step 4: Simplify right side
    10,069.70x = 93,279,470.58
  5. Step 5: Solve for x
    x = 93,279,470.58/10,069.70
  6. Step 6: Final answer
    x = 9,263.38

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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.