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Finding the Fourth Proportional to 8,315.08, 11,474.74 and 4,589

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Solution

The fourth proportional to 8,315.08, 11,474.74 and 4,589 is: 6,332.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,315.08 : 11,474.74 = 4,589 : x
  2. Step 2: Convert to fraction form
    8,315.08/11,474.74 = 4,589/x
  3. Step 3: Cross multiply
    8,315.08x = 11,474.74 × 4,589
  4. Step 4: Simplify right side
    8,315.08x = 52,657,581.86
  5. Step 5: Solve for x
    x = 52,657,581.86/8,315.08
  6. Step 6: Final answer
    x = 6,332.78

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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.