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Finding the Fourth Proportional to 12,284.80, 16,953.62 and 6,908.93

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Solution

The fourth proportional to 12,284.80, 16,953.62 and 6,908.93 is: 9,534.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,284.80 : 16,953.62 = 6,908.93 : x
  2. Step 2: Convert to fraction form
    12,284.80/16,953.62 = 6,908.93/x
  3. Step 3: Cross multiply
    12,284.80x = 16,953.62 × 6,908.93
  4. Step 4: Simplify right side
    12,284.80x = 117,131,306.33
  5. Step 5: Solve for x
    x = 117,131,306.33/12,284.80
  6. Step 6: Final answer
    x = 9,534.66

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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.