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Finding the Fourth Proportional to 11,411.67, 15,739.05 and 6,935.34

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Solution

The fourth proportional to 11,411.67, 15,739.05 and 6,935.34 is: 9,565.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,411.67 : 15,739.05 = 6,935.34 : x
  2. Step 2: Convert to fraction form
    11,411.67/15,739.05 = 6,935.34/x
  3. Step 3: Cross multiply
    11,411.67x = 15,739.05 × 6,935.34
  4. Step 4: Simplify right side
    11,411.67x = 109,155,663.03
  5. Step 5: Solve for x
    x = 109,155,663.03/11,411.67
  6. Step 6: Final answer
    x = 9,565.27

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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.