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Finding the Fourth Proportional to 8,312.50, 11,471.28 and 5,168.68

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Solution

The fourth proportional to 8,312.50, 11,471.28 and 5,168.68 is: 7,132.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,312.50 : 11,471.28 = 5,168.68 : x
  2. Step 2: Convert to fraction form
    8,312.50/11,471.28 = 5,168.68/x
  3. Step 3: Cross multiply
    8,312.50x = 11,471.28 × 5,168.68
  4. Step 4: Simplify right side
    8,312.50x = 59,291,375.51
  5. Step 5: Solve for x
    x = 59,291,375.51/8,312.50
  6. Step 6: Final answer
    x = 7,132.80

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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.