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Finding the Fourth Proportional to 9,783.70, 14,675.55 and 4,589.58

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Solution

The fourth proportional to 9,783.70, 14,675.55 and 4,589.58 is: 6,884.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,783.70 : 14,675.55 = 4,589.58 : x
  2. Step 2: Convert to fraction form
    9,783.70/14,675.55 = 4,589.58/x
  3. Step 3: Cross multiply
    9,783.70x = 14,675.55 × 4,589.58
  4. Step 4: Simplify right side
    9,783.70x = 67,354,604.77
  5. Step 5: Solve for x
    x = 67,354,604.77/9,783.70
  6. Step 6: Final answer
    x = 6,884.37

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Similar ratio
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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.