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Finding the Fourth Proportional to 5,986.57, 8,258.61 and 4,651.13

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Solution

The fourth proportional to 5,986.57, 8,258.61 and 4,651.13 is: 6,416.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,986.57 : 8,258.61 = 4,651.13 : x
  2. Step 2: Convert to fraction form
    5,986.57/8,258.61 = 4,651.13/x
  3. Step 3: Cross multiply
    5,986.57x = 8,258.61 × 4,651.13
  4. Step 4: Simplify right side
    5,986.57x = 38,411,882.26
  5. Step 5: Solve for x
    x = 38,411,882.26/5,986.57
  6. Step 6: Final answer
    x = 6,416.34

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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.