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Finding the Fourth Proportional to 5,548.50, 7,696.17 and 5,349.01

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Solution

The fourth proportional to 5,548.50, 7,696.17 and 5,349.01 is: 7,419.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,548.50 : 7,696.17 = 5,349.01 : x
  2. Step 2: Convert to fraction form
    5,548.50/7,696.17 = 5,349.01/x
  3. Step 3: Cross multiply
    5,548.50x = 7,696.17 × 5,349.01
  4. Step 4: Simplify right side
    5,548.50x = 41,166,903.66
  5. Step 5: Solve for x
    x = 41,166,903.66/5,548.50
  6. Step 6: Final answer
    x = 7,419.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.