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Finding the Fourth Proportional to 7,374.14, 10,186.26 and 6,849.26

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Solution

The fourth proportional to 7,374.14, 10,186.26 and 6,849.26 is: 9,461.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,374.14 : 10,186.26 = 6,849.26 : x
  2. Step 2: Convert to fraction form
    7,374.14/10,186.26 = 6,849.26/x
  3. Step 3: Cross multiply
    7,374.14x = 10,186.26 × 6,849.26
  4. Step 4: Simplify right side
    7,374.14x = 69,768,343.17
  5. Step 5: Solve for x
    x = 69,768,343.17/7,374.14
  6. Step 6: Final answer
    x = 9,461.22

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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.