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Finding the Fourth Proportional to 17,657.50, 26,490.81 and 6,564.55

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Solution

The fourth proportional to 17,657.50, 26,490.81 and 6,564.55 is: 9,848.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,657.50 : 26,490.81 = 6,564.55 : x
  2. Step 2: Convert to fraction form
    17,657.50/26,490.81 = 6,564.55/x
  3. Step 3: Cross multiply
    17,657.50x = 26,490.81 × 6,564.55
  4. Step 4: Simplify right side
    17,657.50x = 173,900,246.79
  5. Step 5: Solve for x
    x = 173,900,246.79/17,657.50
  6. Step 6: Final answer
    x = 9,848.52

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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.