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Finding the Fourth Proportional to 5,668.54, 8,464.59 and 4,630.59

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Solution

The fourth proportional to 5,668.54, 8,464.59 and 4,630.59 is: 6,914.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,668.54 : 8,464.59 = 4,630.59 : x
  2. Step 2: Convert to fraction form
    5,668.54/8,464.59 = 4,630.59/x
  3. Step 3: Cross multiply
    5,668.54x = 8,464.59 × 4,630.59
  4. Step 4: Simplify right side
    5,668.54x = 39,196,045.81
  5. Step 5: Solve for x
    x = 39,196,045.81/5,668.54
  6. Step 6: Final answer
    x = 6,914.67

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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.