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Finding the Fourth Proportional to 17,627, 24,325.26 and 10,175

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Solution

The fourth proportional to 17,627, 24,325.26 and 10,175 is: 14,041.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,627 : 24,325.26 = 10,175 : x
  2. Step 2: Convert to fraction form
    17,627/24,325.26 = 10,175/x
  3. Step 3: Cross multiply
    17,627x = 24,325.26 × 10,175
  4. Step 4: Simplify right side
    17,627x = 247,509,520.50
  5. Step 5: Solve for x
    x = 247,509,520.50/17,627
  6. Step 6: Final answer
    x = 14,041.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.