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Finding the Fourth Proportional to 10,706.40, 14,774.67 and 5,990.67

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Solution

The fourth proportional to 10,706.40, 14,774.67 and 5,990.67 is: 8,267.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,706.40 : 14,774.67 = 5,990.67 : x
  2. Step 2: Convert to fraction form
    10,706.40/14,774.67 = 5,990.67/x
  3. Step 3: Cross multiply
    10,706.40x = 14,774.67 × 5,990.67
  4. Step 4: Simplify right side
    10,706.40x = 88,510,172.33
  5. Step 5: Solve for x
    x = 88,510,172.33/10,706.40
  6. Step 6: Final answer
    x = 8,267.03

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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.