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Finding the Fourth Proportional to 9,614.01, 14,415.87 and 4,932.12

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Solution

The fourth proportional to 9,614.01, 14,415.87 and 4,932.12 is: 7,395.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,614.01 : 14,415.87 = 4,932.12 : x
  2. Step 2: Convert to fraction form
    9,614.01/14,415.87 = 4,932.12/x
  3. Step 3: Cross multiply
    9,614.01x = 14,415.87 × 4,932.12
  4. Step 4: Simplify right side
    9,614.01x = 71,100,800.74
  5. Step 5: Solve for x
    x = 71,100,800.74/9,614.01
  6. Step 6: Final answer
    x = 7,395.54

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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.