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Finding the Fourth Proportional to 6,762.25, 9,334.50 and 6,052.84

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Solution

The fourth proportional to 6,762.25, 9,334.50 and 6,052.84 is: 8,355.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,762.25 : 9,334.50 = 6,052.84 : x
  2. Step 2: Convert to fraction form
    6,762.25/9,334.50 = 6,052.84/x
  3. Step 3: Cross multiply
    6,762.25x = 9,334.50 × 6,052.84
  4. Step 4: Simplify right side
    6,762.25x = 56,500,251.75
  5. Step 5: Solve for x
    x = 56,500,251.75/6,762.25
  6. Step 6: Final answer
    x = 8,355.25

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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.