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Finding the Fourth Proportional to 12,852.72, 17,735.16 and 7,187.76

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Solution

The fourth proportional to 12,852.72, 17,735.16 and 7,187.76 is: 9,918.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,852.72 : 17,735.16 = 7,187.76 : x
  2. Step 2: Convert to fraction form
    12,852.72/17,735.16 = 7,187.76/x
  3. Step 3: Cross multiply
    12,852.72x = 17,735.16 × 7,187.76
  4. Step 4: Simplify right side
    12,852.72x = 127,476,073.64
  5. Step 5: Solve for x
    x = 127,476,073.64/12,852.72
  6. Step 6: Final answer
    x = 9,918.22

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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.