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Finding the Fourth Proportional to 6,526.84, 9,802.32 and 3,408.97

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Solution

The fourth proportional to 6,526.84, 9,802.32 and 3,408.97 is: 5,119.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,526.84 : 9,802.32 = 3,408.97 : x
  2. Step 2: Convert to fraction form
    6,526.84/9,802.32 = 3,408.97/x
  3. Step 3: Cross multiply
    6,526.84x = 9,802.32 × 3,408.97
  4. Step 4: Simplify right side
    6,526.84x = 33,415,814.81
  5. Step 5: Solve for x
    x = 33,415,814.81/6,526.84
  6. Step 6: Final answer
    x = 5,119.75

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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.