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Finding the Fourth Proportional to 12,598.32, 18,881.04 and 5,194.32

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Solution

The fourth proportional to 12,598.32, 18,881.04 and 5,194.32 is: 7,784.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,598.32 : 18,881.04 = 5,194.32 : x
  2. Step 2: Convert to fraction form
    12,598.32/18,881.04 = 5,194.32/x
  3. Step 3: Cross multiply
    12,598.32x = 18,881.04 × 5,194.32
  4. Step 4: Simplify right side
    12,598.32x = 98,074,163.69
  5. Step 5: Solve for x
    x = 98,074,163.69/12,598.32
  6. Step 6: Final answer
    x = 7,784.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.