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Finding the Fourth Proportional to 7,309, 10,968.54 and 6,334.12

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Solution

The fourth proportional to 7,309, 10,968.54 and 6,334.12 is: 9,505.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,309 : 10,968.54 = 6,334.12 : x
  2. Step 2: Convert to fraction form
    7,309/10,968.54 = 6,334.12/x
  3. Step 3: Cross multiply
    7,309x = 10,968.54 × 6,334.12
  4. Step 4: Simplify right side
    7,309x = 69,476,048.58
  5. Step 5: Solve for x
    x = 69,476,048.58/7,309
  6. Step 6: Final answer
    x = 9,505.55

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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.