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Finding the Fourth Proportional to 17,035.96, 23,509.80 and 9,961

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Solution

The fourth proportional to 17,035.96, 23,509.80 and 9,961 is: 13,746.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,035.96 : 23,509.80 = 9,961 : x
  2. Step 2: Convert to fraction form
    17,035.96/23,509.80 = 9,961/x
  3. Step 3: Cross multiply
    17,035.96x = 23,509.80 × 9,961
  4. Step 4: Simplify right side
    17,035.96x = 234,181,117.80
  5. Step 5: Solve for x
    x = 234,181,117.80/17,035.96
  6. Step 6: Final answer
    x = 13,746.28

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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.