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Finding the Fourth Proportional to 9,855.56, 14,783.50 and 3,281.64

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Solution

The fourth proportional to 9,855.56, 14,783.50 and 3,281.64 is: 4,922.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,855.56 : 14,783.50 = 3,281.64 : x
  2. Step 2: Convert to fraction form
    9,855.56/14,783.50 = 3,281.64/x
  3. Step 3: Cross multiply
    9,855.56x = 14,783.50 × 3,281.64
  4. Step 4: Simplify right side
    9,855.56x = 48,514,124.94
  5. Step 5: Solve for x
    x = 48,514,124.94/9,855.56
  6. Step 6: Final answer
    x = 4,922.51

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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.