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Finding the Fourth Proportional to 11,371.16, 15,674.02 and 7,586.84

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Solution

The fourth proportional to 11,371.16, 15,674.02 and 7,586.84 is: 10,457.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,371.16 : 15,674.02 = 7,586.84 : x
  2. Step 2: Convert to fraction form
    11,371.16/15,674.02 = 7,586.84/x
  3. Step 3: Cross multiply
    11,371.16x = 15,674.02 × 7,586.84
  4. Step 4: Simplify right side
    11,371.16x = 118,916,184.56
  5. Step 5: Solve for x
    x = 118,916,184.56/11,371.16
  6. Step 6: Final answer
    x = 10,457.71

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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.