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Finding the Fourth Proportional to 5,743.48, 8,617.46 and 4,643.16

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Solution

The fourth proportional to 5,743.48, 8,617.46 and 4,643.16 is: 6,966.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,743.48 : 8,617.46 = 4,643.16 : x
  2. Step 2: Convert to fraction form
    5,743.48/8,617.46 = 4,643.16/x
  3. Step 3: Cross multiply
    5,743.48x = 8,617.46 × 4,643.16
  4. Step 4: Simplify right side
    5,743.48x = 40,012,245.57
  5. Step 5: Solve for x
    x = 40,012,245.57/5,743.48
  6. Step 6: Final answer
    x = 6,966.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.