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Finding the Fourth Proportional to 8,315.94, 11,476.01 and 4,589.94

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Solution

The fourth proportional to 8,315.94, 11,476.01 and 4,589.94 is: 6,334.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,315.94 : 11,476.01 = 4,589.94 : x
  2. Step 2: Convert to fraction form
    8,315.94/11,476.01 = 4,589.94/x
  3. Step 3: Cross multiply
    8,315.94x = 11,476.01 × 4,589.94
  4. Step 4: Simplify right side
    8,315.94x = 52,674,197.34
  5. Step 5: Solve for x
    x = 52,674,197.34/8,315.94
  6. Step 6: Final answer
    x = 6,334.12

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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.