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Finding the Fourth Proportional to 7,709.48, 11,557.74 and 6,245

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Solution

The fourth proportional to 7,709.48, 11,557.74 and 6,245 is: 9,362.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,709.48 : 11,557.74 = 6,245 : x
  2. Step 2: Convert to fraction form
    7,709.48/11,557.74 = 6,245/x
  3. Step 3: Cross multiply
    7,709.48x = 11,557.74 × 6,245
  4. Step 4: Simplify right side
    7,709.48x = 72,178,086.30
  5. Step 5: Solve for x
    x = 72,178,086.30/7,709.48
  6. Step 6: Final answer
    x = 9,362.25

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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.