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Finding the Fourth Proportional to 17,254.28, 25,875.02 and 6,158

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Solution

The fourth proportional to 17,254.28, 25,875.02 and 6,158 is: 9,234.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,254.28 : 25,875.02 = 6,158 : x
  2. Step 2: Convert to fraction form
    17,254.28/25,875.02 = 6,158/x
  3. Step 3: Cross multiply
    17,254.28x = 25,875.02 × 6,158
  4. Step 4: Simplify right side
    17,254.28x = 159,338,373.16
  5. Step 5: Solve for x
    x = 159,338,373.16/17,254.28
  6. Step 6: Final answer
    x = 9,234.72

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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.