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Finding the Fourth Proportional to 5,668.83, 8,461.64 and 5,251.34

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Solution

The fourth proportional to 5,668.83, 8,461.64 and 5,251.34 is: 7,838.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,668.83 : 8,461.64 = 5,251.34 : x
  2. Step 2: Convert to fraction form
    5,668.83/8,461.64 = 5,251.34/x
  3. Step 3: Cross multiply
    5,668.83x = 8,461.64 × 5,251.34
  4. Step 4: Simplify right side
    5,668.83x = 44,434,880.03
  5. Step 5: Solve for x
    x = 44,434,880.03/5,668.83
  6. Step 6: Final answer
    x = 7,838.46

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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.