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Finding the Fourth Proportional to 4,706.70, 7,061.88 and 2,107.80

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Solution

The fourth proportional to 4,706.70, 7,061.88 and 2,107.80 is: 3,162.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706.70 : 7,061.88 = 2,107.80 : x
  2. Step 2: Convert to fraction form
    4,706.70/7,061.88 = 2,107.80/x
  3. Step 3: Cross multiply
    4,706.70x = 7,061.88 × 2,107.80
  4. Step 4: Simplify right side
    4,706.70x = 14,885,030.66
  5. Step 5: Solve for x
    x = 14,885,030.66/4,706.70
  6. Step 6: Final answer
    x = 3,162.52

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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.