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Finding the Fourth Proportional to 7,965.84, 10,991.64 and 4,608

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Solution

The fourth proportional to 7,965.84, 10,991.64 and 4,608 is: 6,358.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,965.84 : 10,991.64 = 4,608 : x
  2. Step 2: Convert to fraction form
    7,965.84/10,991.64 = 4,608/x
  3. Step 3: Cross multiply
    7,965.84x = 10,991.64 × 4,608
  4. Step 4: Simplify right side
    7,965.84x = 50,649,477.12
  5. Step 5: Solve for x
    x = 50,649,477.12/7,965.84
  6. Step 6: Final answer
    x = 6,358.33

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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.