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Finding the Fourth Proportional to 7,864.83, 11,735.91 and 7,166.19

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Solution

The fourth proportional to 7,864.83, 11,735.91 and 7,166.19 is: 10,693.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,864.83 : 11,735.91 = 7,166.19 : x
  2. Step 2: Convert to fraction form
    7,864.83/11,735.91 = 7,166.19/x
  3. Step 3: Cross multiply
    7,864.83x = 11,735.91 × 7,166.19
  4. Step 4: Simplify right side
    7,864.83x = 84,101,760.88
  5. Step 5: Solve for x
    x = 84,101,760.88/7,864.83
  6. Step 6: Final answer
    x = 10,693.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.