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Finding the Fourth Proportional to 7,177.36, 10,777 and 5,952.64

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Solution

The fourth proportional to 7,177.36, 10,777 and 5,952.64 is: 8,938.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,177.36 : 10,777 = 5,952.64 : x
  2. Step 2: Convert to fraction form
    7,177.36/10,777 = 5,952.64/x
  3. Step 3: Cross multiply
    7,177.36x = 10,777 × 5,952.64
  4. Step 4: Simplify right side
    7,177.36x = 64,151,601.28
  5. Step 5: Solve for x
    x = 64,151,601.28/7,177.36
  6. Step 6: Final answer
    x = 8,938.05

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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.