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Finding the Fourth Proportional to 11,657.40, 17,486.10 and 10,563.90

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Solution

The fourth proportional to 11,657.40, 17,486.10 and 10,563.90 is: 15,845.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,657.40 : 17,486.10 = 10,563.90 : x
  2. Step 2: Convert to fraction form
    11,657.40/17,486.10 = 10,563.90/x
  3. Step 3: Cross multiply
    11,657.40x = 17,486.10 × 10,563.90
  4. Step 4: Simplify right side
    11,657.40x = 184,721,411.79
  5. Step 5: Solve for x
    x = 184,721,411.79/11,657.40
  6. Step 6: Final answer
    x = 15,845.85

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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.