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Finding the Fourth Proportional to 11,646.65, 17,472.14 and 8,306.58

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Solution

The fourth proportional to 11,646.65, 17,472.14 and 8,306.58 is: 12,461.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,646.65 : 17,472.14 = 8,306.58 : x
  2. Step 2: Convert to fraction form
    11,646.65/17,472.14 = 8,306.58/x
  3. Step 3: Cross multiply
    11,646.65x = 17,472.14 × 8,306.58
  4. Step 4: Simplify right side
    11,646.65x = 145,133,783.82
  5. Step 5: Solve for x
    x = 145,133,783.82/11,646.65
  6. Step 6: Final answer
    x = 12,461.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.