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Finding the Fourth Proportional to 17,297, 23,867.70 and 9,742.28

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Solution

The fourth proportional to 17,297, 23,867.70 and 9,742.28 is: 13,443.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,297 : 23,867.70 = 9,742.28 : x
  2. Step 2: Convert to fraction form
    17,297/23,867.70 = 9,742.28/x
  3. Step 3: Cross multiply
    17,297x = 23,867.70 × 9,742.28
  4. Step 4: Simplify right side
    17,297x = 232,525,816.36
  5. Step 5: Solve for x
    x = 232,525,816.36/17,297
  6. Step 6: Final answer
    x = 13,443.13

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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.