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Finding the Fourth Proportional to 9,696.58, 14,544.88 and 2,771.08

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Solution

The fourth proportional to 9,696.58, 14,544.88 and 2,771.08 is: 4,156.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,696.58 : 14,544.88 = 2,771.08 : x
  2. Step 2: Convert to fraction form
    9,696.58/14,544.88 = 2,771.08/x
  3. Step 3: Cross multiply
    9,696.58x = 14,544.88 × 2,771.08
  4. Step 4: Simplify right side
    9,696.58x = 40,305,026.07
  5. Step 5: Solve for x
    x = 40,305,026.07/9,696.58
  6. Step 6: Final answer
    x = 4,156.62

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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.