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Finding the Fourth Proportional to 9,854.56, 14,782 and 3,280.64

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Solution

The fourth proportional to 9,854.56, 14,782 and 3,280.64 is: 4,921.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,854.56 : 14,782 = 3,280.64 : x
  2. Step 2: Convert to fraction form
    9,854.56/14,782 = 3,280.64/x
  3. Step 3: Cross multiply
    9,854.56x = 14,782 × 3,280.64
  4. Step 4: Simplify right side
    9,854.56x = 48,494,420.48
  5. Step 5: Solve for x
    x = 48,494,420.48/9,854.56
  6. Step 6: Final answer
    x = 4,921.01

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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.