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Finding the Fourth Proportional to 16,952.96, 25,432.80 and 6,564.80

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Solution

The fourth proportional to 16,952.96, 25,432.80 and 6,564.80 is: 9,848.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,952.96 : 25,432.80 = 6,564.80 : x
  2. Step 2: Convert to fraction form
    16,952.96/25,432.80 = 6,564.80/x
  3. Step 3: Cross multiply
    16,952.96x = 25,432.80 × 6,564.80
  4. Step 4: Simplify right side
    16,952.96x = 166,961,245.44
  5. Step 5: Solve for x
    x = 166,961,245.44/16,952.96
  6. Step 6: Final answer
    x = 9,848.50

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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.