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Finding the Fourth Proportional to 11,300.70, 16,938.74 and 9,652.25

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Solution

The fourth proportional to 11,300.70, 16,938.74 and 9,652.25 is: 14,467.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,300.70 : 16,938.74 = 9,652.25 : x
  2. Step 2: Convert to fraction form
    11,300.70/16,938.74 = 9,652.25/x
  3. Step 3: Cross multiply
    11,300.70x = 16,938.74 × 9,652.25
  4. Step 4: Simplify right side
    11,300.70x = 163,496,820.21
  5. Step 5: Solve for x
    x = 163,496,820.21/11,300.70
  6. Step 6: Final answer
    x = 14,467.85

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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.