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Finding the Fourth Proportional to 17,051.70, 23,530.14 and 9,394.64

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Solution

The fourth proportional to 17,051.70, 23,530.14 and 9,394.64 is: 12,963.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,051.70 : 23,530.14 = 9,394.64 : x
  2. Step 2: Convert to fraction form
    17,051.70/23,530.14 = 9,394.64/x
  3. Step 3: Cross multiply
    17,051.70x = 23,530.14 × 9,394.64
  4. Step 4: Simplify right side
    17,051.70x = 221,057,029.83
  5. Step 5: Solve for x
    x = 221,057,029.83/17,051.70
  6. Step 6: Final answer
    x = 12,963.93

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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.