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Finding the Fourth Proportional to 7,973.74, 11,007.75 and 6,177.21

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Solution

The fourth proportional to 7,973.74, 11,007.75 and 6,177.21 is: 8,527.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,973.74 : 11,007.75 = 6,177.21 : x
  2. Step 2: Convert to fraction form
    7,973.74/11,007.75 = 6,177.21/x
  3. Step 3: Cross multiply
    7,973.74x = 11,007.75 × 6,177.21
  4. Step 4: Simplify right side
    7,973.74x = 67,997,183.38
  5. Step 5: Solve for x
    x = 67,997,183.38/7,973.74
  6. Step 6: Final answer
    x = 8,527.64

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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.