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Finding the Fourth Proportional to 7,327.40, 10,277.80 and 7,327.40

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Solution

The fourth proportional to 7,327.40, 10,277.80 and 7,327.40 is: 10,277.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,327.40 : 10,277.80 = 7,327.40 : x
  2. Step 2: Convert to fraction form
    7,327.40/10,277.80 = 7,327.40/x
  3. Step 3: Cross multiply
    7,327.40x = 10,277.80 × 7,327.40
  4. Step 4: Simplify right side
    7,327.40x = 75,309,551.72
  5. Step 5: Solve for x
    x = 75,309,551.72/7,327.40
  6. Step 6: Final answer
    x = 10,277.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.