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Finding the Fourth Proportional to 7,684.80, 11,527.44 and 3,004.64

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Solution

The fourth proportional to 7,684.80, 11,527.44 and 3,004.64 is: 4,507.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,684.80 : 11,527.44 = 3,004.64 : x
  2. Step 2: Convert to fraction form
    7,684.80/11,527.44 = 3,004.64/x
  3. Step 3: Cross multiply
    7,684.80x = 11,527.44 × 3,004.64
  4. Step 4: Simplify right side
    7,684.80x = 34,635,807.32
  5. Step 5: Solve for x
    x = 34,635,807.32/7,684.80
  6. Step 6: Final answer
    x = 4,507.05

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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.