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Finding the Fourth Proportional to 6,507.81, 8,980.47 and 3,674.97

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Solution

The fourth proportional to 6,507.81, 8,980.47 and 3,674.97 is: 5,071.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,507.81 : 8,980.47 = 3,674.97 : x
  2. Step 2: Convert to fraction form
    6,507.81/8,980.47 = 3,674.97/x
  3. Step 3: Cross multiply
    6,507.81x = 8,980.47 × 3,674.97
  4. Step 4: Simplify right side
    6,507.81x = 33,002,957.84
  5. Step 5: Solve for x
    x = 33,002,957.84/6,507.81
  6. Step 6: Final answer
    x = 5,071.28

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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.