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Finding the Fourth Proportional to 11,976.04, 16,532.67 and 7,502.14

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Solution

The fourth proportional to 11,976.04, 16,532.67 and 7,502.14 is: 10,356.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,976.04 : 16,532.67 = 7,502.14 : x
  2. Step 2: Convert to fraction form
    11,976.04/16,532.67 = 7,502.14/x
  3. Step 3: Cross multiply
    11,976.04x = 16,532.67 × 7,502.14
  4. Step 4: Simplify right side
    11,976.04x = 124,030,404.91
  5. Step 5: Solve for x
    x = 124,030,404.91/11,976.04
  6. Step 6: Final answer
    x = 10,356.55

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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.