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Finding the Fourth Proportional to 4,662.48, 6,991.95 and 1,541.55

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Solution

The fourth proportional to 4,662.48, 6,991.95 and 1,541.55 is: 2,311.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,662.48 : 6,991.95 = 1,541.55 : x
  2. Step 2: Convert to fraction form
    4,662.48/6,991.95 = 1,541.55/x
  3. Step 3: Cross multiply
    4,662.48x = 6,991.95 × 1,541.55
  4. Step 4: Simplify right side
    4,662.48x = 10,778,440.52
  5. Step 5: Solve for x
    x = 10,778,440.52/4,662.48
  6. Step 6: Final answer
    x = 2,311.74

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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.