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Finding the Fourth Proportional to 9,774.93, 14,645.96 and 6,304.89

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Solution

The fourth proportional to 9,774.93, 14,645.96 and 6,304.89 is: 9,446.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,774.93 : 14,645.96 = 6,304.89 : x
  2. Step 2: Convert to fraction form
    9,774.93/14,645.96 = 6,304.89/x
  3. Step 3: Cross multiply
    9,774.93x = 14,645.96 × 6,304.89
  4. Step 4: Simplify right side
    9,774.93x = 92,341,135.22
  5. Step 5: Solve for x
    x = 92,341,135.22/9,774.93
  6. Step 6: Final answer
    x = 9,446.73

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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.