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Finding the Fourth Proportional to 9,889.42, 14,827.20 and 3,648.64

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Solution

The fourth proportional to 9,889.42, 14,827.20 and 3,648.64 is: 5,470.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,889.42 : 14,827.20 = 3,648.64 : x
  2. Step 2: Convert to fraction form
    9,889.42/14,827.20 = 3,648.64/x
  3. Step 3: Cross multiply
    9,889.42x = 14,827.20 × 3,648.64
  4. Step 4: Simplify right side
    9,889.42x = 54,099,115.01
  5. Step 5: Solve for x
    x = 54,099,115.01/9,889.42
  6. Step 6: Final answer
    x = 5,470.40

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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.