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Finding the Fourth Proportional to 6,525.84, 9,805.74 and 6,099.24

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Solution

The fourth proportional to 6,525.84, 9,805.74 and 6,099.24 is: 9,164.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,525.84 : 9,805.74 = 6,099.24 : x
  2. Step 2: Convert to fraction form
    6,525.84/9,805.74 = 6,099.24/x
  3. Step 3: Cross multiply
    6,525.84x = 9,805.74 × 6,099.24
  4. Step 4: Simplify right side
    6,525.84x = 59,807,561.64
  5. Step 5: Solve for x
    x = 59,807,561.64/6,525.84
  6. Step 6: Final answer
    x = 9,164.73

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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.