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Finding the Fourth Proportional to 17,533.70, 26,308.35 and 9,211.70

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Solution

The fourth proportional to 17,533.70, 26,308.35 and 9,211.70 is: 13,821.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,533.70 : 26,308.35 = 9,211.70 : x
  2. Step 2: Convert to fraction form
    17,533.70/26,308.35 = 9,211.70/x
  3. Step 3: Cross multiply
    17,533.70x = 26,308.35 × 9,211.70
  4. Step 4: Simplify right side
    17,533.70x = 242,344,627.70
  5. Step 5: Solve for x
    x = 242,344,627.70/17,533.70
  6. Step 6: Final answer
    x = 13,821.65

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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.