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Finding the Fourth Proportional to 16,461, 24,698.34 and 6,607.26

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Solution

The fourth proportional to 16,461, 24,698.34 and 6,607.26 is: 9,913.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,461 : 24,698.34 = 6,607.26 : x
  2. Step 2: Convert to fraction form
    16,461/24,698.34 = 6,607.26/x
  3. Step 3: Cross multiply
    16,461x = 24,698.34 × 6,607.26
  4. Step 4: Simplify right side
    16,461x = 163,188,353.95
  5. Step 5: Solve for x
    x = 163,188,353.95/16,461
  6. Step 6: Final answer
    x = 9,913.64

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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.