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Finding the Fourth Proportional to 19,096, 26,350.32 and 10,597.84

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Solution

The fourth proportional to 19,096, 26,350.32 and 10,597.84 is: 14,623.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,096 : 26,350.32 = 10,597.84 : x
  2. Step 2: Convert to fraction form
    19,096/26,350.32 = 10,597.84/x
  3. Step 3: Cross multiply
    19,096x = 26,350.32 × 10,597.84
  4. Step 4: Simplify right side
    19,096x = 279,256,475.31
  5. Step 5: Solve for x
    x = 279,256,475.31/19,096
  6. Step 6: Final answer
    x = 14,623.82

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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.