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Finding the Fourth Proportional to 16,902, 25,353.10 and 4,590

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Solution

The fourth proportional to 16,902, 25,353.10 and 4,590 is: 6,885.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,902 : 25,353.10 = 4,590 : x
  2. Step 2: Convert to fraction form
    16,902/25,353.10 = 4,590/x
  3. Step 3: Cross multiply
    16,902x = 25,353.10 × 4,590
  4. Step 4: Simplify right side
    16,902x = 116,370,729
  5. Step 5: Solve for x
    x = 116,370,729/16,902
  6. Step 6: Final answer
    x = 6,885.03

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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.