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Finding the Fourth Proportional to 7,586.64, 11,360.96 and 4,804.96

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Solution

The fourth proportional to 7,586.64, 11,360.96 and 4,804.96 is: 7,195.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,586.64 : 11,360.96 = 4,804.96 : x
  2. Step 2: Convert to fraction form
    7,586.64/11,360.96 = 4,804.96/x
  3. Step 3: Cross multiply
    7,586.64x = 11,360.96 × 4,804.96
  4. Step 4: Simplify right side
    7,586.64x = 54,588,958.36
  5. Step 5: Solve for x
    x = 54,588,958.36/7,586.64
  6. Step 6: Final answer
    x = 7,195.41

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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.