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Finding the Fourth Proportional to 6,507.54, 8,978.85 and 3,674.97

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Solution

The fourth proportional to 6,507.54, 8,978.85 and 3,674.97 is: 5,070.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,507.54 : 8,978.85 = 3,674.97 : x
  2. Step 2: Convert to fraction form
    6,507.54/8,978.85 = 3,674.97/x
  3. Step 3: Cross multiply
    6,507.54x = 8,978.85 × 3,674.97
  4. Step 4: Simplify right side
    6,507.54x = 32,997,004.38
  5. Step 5: Solve for x
    x = 32,997,004.38/6,507.54
  6. Step 6: Final answer
    x = 5,070.58

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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.