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Finding the Fourth Proportional to 6,505.69, 8,968.93 and 4,114.47

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Solution

The fourth proportional to 6,505.69, 8,968.93 and 4,114.47 is: 5,672.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,505.69 : 8,968.93 = 4,114.47 : x
  2. Step 2: Convert to fraction form
    6,505.69/8,968.93 = 4,114.47/x
  3. Step 3: Cross multiply
    6,505.69x = 8,968.93 × 4,114.47
  4. Step 4: Simplify right side
    6,505.69x = 36,902,393.42
  5. Step 5: Solve for x
    x = 36,902,393.42/6,505.69
  6. Step 6: Final answer
    x = 5,672.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.