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Finding the Fourth Proportional to 6,504.84, 9,762.73 and 6,094.78

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Solution

The fourth proportional to 6,504.84, 9,762.73 and 6,094.78 is: 9,147.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,504.84 : 9,762.73 = 6,094.78 : x
  2. Step 2: Convert to fraction form
    6,504.84/9,762.73 = 6,094.78/x
  3. Step 3: Cross multiply
    6,504.84x = 9,762.73 × 6,094.78
  4. Step 4: Simplify right side
    6,504.84x = 59,501,691.55
  5. Step 5: Solve for x
    x = 59,501,691.55/6,504.84
  6. Step 6: Final answer
    x = 9,147.30

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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.