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Finding the Fourth Proportional to 5,583.74, 7,705.13 and 3,225.83

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Solution

The fourth proportional to 5,583.74, 7,705.13 and 3,225.83 is: 4,451.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,583.74 : 7,705.13 = 3,225.83 : x
  2. Step 2: Convert to fraction form
    5,583.74/7,705.13 = 3,225.83/x
  3. Step 3: Cross multiply
    5,583.74x = 7,705.13 × 3,225.83
  4. Step 4: Simplify right side
    5,583.74x = 24,855,384.85
  5. Step 5: Solve for x
    x = 24,855,384.85/5,583.74
  6. Step 6: Final answer
    x = 4,451.39

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Half scale
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Double scale
Find fourth proportional to 5,584.74, 7,706.50 and 3,226.83
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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.