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Finding the Fourth Proportional to 10,467.68, 14,447.44 and 6,931.04

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Solution

The fourth proportional to 10,467.68, 14,447.44 and 6,931.04 is: 9,566.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,467.68 : 14,447.44 = 6,931.04 : x
  2. Step 2: Convert to fraction form
    10,467.68/14,447.44 = 6,931.04/x
  3. Step 3: Cross multiply
    10,467.68x = 14,447.44 × 6,931.04
  4. Step 4: Simplify right side
    10,467.68x = 100,135,784.54
  5. Step 5: Solve for x
    x = 100,135,784.54/10,467.68
  6. Step 6: Final answer
    x = 9,566.19

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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.