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Finding the Fourth Proportional to 9,693.99, 14,541.04 and 3,454.24

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Solution

The fourth proportional to 9,693.99, 14,541.04 and 3,454.24 is: 5,181.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,693.99 : 14,541.04 = 3,454.24 : x
  2. Step 2: Convert to fraction form
    9,693.99/14,541.04 = 3,454.24/x
  3. Step 3: Cross multiply
    9,693.99x = 14,541.04 × 3,454.24
  4. Step 4: Simplify right side
    9,693.99x = 50,228,251.55
  5. Step 5: Solve for x
    x = 50,228,251.55/9,693.99
  6. Step 6: Final answer
    x = 5,181.38

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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.