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Finding the Fourth Proportional to 11,407.03, 15,741.54 and 6,930.97

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Solution

The fourth proportional to 11,407.03, 15,741.54 and 6,930.97 is: 9,564.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,407.03 : 15,741.54 = 6,930.97 : x
  2. Step 2: Convert to fraction form
    11,407.03/15,741.54 = 6,930.97/x
  3. Step 3: Cross multiply
    11,407.03x = 15,741.54 × 6,930.97
  4. Step 4: Simplify right side
    11,407.03x = 109,104,102.14
  5. Step 5: Solve for x
    x = 109,104,102.14/11,407.03
  6. Step 6: Final answer
    x = 9,564.64

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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.