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Finding the Fourth Proportional to 17,113.48, 23,618.58 and 9,661

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Solution

The fourth proportional to 17,113.48, 23,618.58 and 9,661 is: 13,333.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,113.48 : 23,618.58 = 9,661 : x
  2. Step 2: Convert to fraction form
    17,113.48/23,618.58 = 9,661/x
  3. Step 3: Cross multiply
    17,113.48x = 23,618.58 × 9,661
  4. Step 4: Simplify right side
    17,113.48x = 228,179,101.38
  5. Step 5: Solve for x
    x = 228,179,101.38/17,113.48
  6. Step 6: Final answer
    x = 13,333.30

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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.