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Finding the Fourth Proportional to 7,860.09, 10,842.74 and 5,968.53

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Solution

The fourth proportional to 7,860.09, 10,842.74 and 5,968.53 is: 8,233.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,860.09 : 10,842.74 = 5,968.53 : x
  2. Step 2: Convert to fraction form
    7,860.09/10,842.74 = 5,968.53/x
  3. Step 3: Cross multiply
    7,860.09x = 10,842.74 × 5,968.53
  4. Step 4: Simplify right side
    7,860.09x = 64,715,218.97
  5. Step 5: Solve for x
    x = 64,715,218.97/7,860.09
  6. Step 6: Final answer
    x = 8,233.39

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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.