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Finding the Fourth Proportional to 10,180.22, 14,047.97 and 5,931.32

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Solution

The fourth proportional to 10,180.22, 14,047.97 and 5,931.32 is: 8,184.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,180.22 : 14,047.97 = 5,931.32 : x
  2. Step 2: Convert to fraction form
    10,180.22/14,047.97 = 5,931.32/x
  3. Step 3: Cross multiply
    10,180.22x = 14,047.97 × 5,931.32
  4. Step 4: Simplify right side
    10,180.22x = 83,322,905.52
  5. Step 5: Solve for x
    x = 83,322,905.52/10,180.22
  6. Step 6: Final answer
    x = 8,184.79

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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.