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Finding the Fourth Proportional to 9,704.91, 14,533.46 and 5,534.63

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Solution

The fourth proportional to 9,704.91, 14,533.46 and 5,534.63 is: 8,288.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,704.91 : 14,533.46 = 5,534.63 : x
  2. Step 2: Convert to fraction form
    9,704.91/14,533.46 = 5,534.63/x
  3. Step 3: Cross multiply
    9,704.91x = 14,533.46 × 5,534.63
  4. Step 4: Simplify right side
    9,704.91x = 80,437,223.38
  5. Step 5: Solve for x
    x = 80,437,223.38/9,704.91
  6. Step 6: Final answer
    x = 8,288.30

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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.