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Finding the Fourth Proportional to 16,584.93, 22,886.98 and 9,031.19

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Solution

The fourth proportional to 16,584.93, 22,886.98 and 9,031.19 is: 12,462.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,584.93 : 22,886.98 = 9,031.19 : x
  2. Step 2: Convert to fraction form
    16,584.93/22,886.98 = 9,031.19/x
  3. Step 3: Cross multiply
    16,584.93x = 22,886.98 × 9,031.19
  4. Step 4: Simplify right side
    16,584.93x = 206,696,527.89
  5. Step 5: Solve for x
    x = 206,696,527.89/16,584.93
  6. Step 6: Final answer
    x = 12,462.91

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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.