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Finding the Fourth Proportional to 12,009.80, 16,573.82 and 6,632.62

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Solution

The fourth proportional to 12,009.80, 16,573.82 and 6,632.62 is: 9,153.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,009.80 : 16,573.82 = 6,632.62 : x
  2. Step 2: Convert to fraction form
    12,009.80/16,573.82 = 6,632.62/x
  3. Step 3: Cross multiply
    12,009.80x = 16,573.82 × 6,632.62
  4. Step 4: Simplify right side
    12,009.80x = 109,927,775.41
  5. Step 5: Solve for x
    x = 109,927,775.41/12,009.80
  6. Step 6: Final answer
    x = 9,153.17

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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.