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Finding the Fourth Proportional to 12,815.81, 17,674.77 and 8,337.93

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Solution

The fourth proportional to 12,815.81, 17,674.77 and 8,337.93 is: 11,499.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,815.81 : 17,674.77 = 8,337.93 : x
  2. Step 2: Convert to fraction form
    12,815.81/17,674.77 = 8,337.93/x
  3. Step 3: Cross multiply
    12,815.81x = 17,674.77 × 8,337.93
  4. Step 4: Simplify right side
    12,815.81x = 147,370,995.03
  5. Step 5: Solve for x
    x = 147,370,995.03/12,815.81
  6. Step 6: Final answer
    x = 11,499.16

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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.