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Finding the Fourth Proportional to 6,424.65, 9,582.77 and 5,858.73

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Solution

The fourth proportional to 6,424.65, 9,582.77 and 5,858.73 is: 8,738.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,424.65 : 9,582.77 = 5,858.73 : x
  2. Step 2: Convert to fraction form
    6,424.65/9,582.77 = 5,858.73/x
  3. Step 3: Cross multiply
    6,424.65x = 9,582.77 × 5,858.73
  4. Step 4: Simplify right side
    6,424.65x = 56,142,876.73
  5. Step 5: Solve for x
    x = 56,142,876.73/6,424.65
  6. Step 6: Final answer
    x = 8,738.67

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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.