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Finding the Fourth Proportional to 9,846, 14,670.54 and 9,091.49

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Solution

The fourth proportional to 9,846, 14,670.54 and 9,091.49 is: 13,546.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,846 : 14,670.54 = 9,091.49 : x
  2. Step 2: Convert to fraction form
    9,846/14,670.54 = 9,091.49/x
  3. Step 3: Cross multiply
    9,846x = 14,670.54 × 9,091.49
  4. Step 4: Simplify right side
    9,846x = 133,376,994.35
  5. Step 5: Solve for x
    x = 133,376,994.35/9,846
  6. Step 6: Final answer
    x = 13,546.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.