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Finding the Fourth Proportional to 11,923.52, 16,454.88 and 7,205.06

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Solution

The fourth proportional to 11,923.52, 16,454.88 and 7,205.06 is: 9,943.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,923.52 : 16,454.88 = 7,205.06 : x
  2. Step 2: Convert to fraction form
    11,923.52/16,454.88 = 7,205.06/x
  3. Step 3: Cross multiply
    11,923.52x = 16,454.88 × 7,205.06
  4. Step 4: Simplify right side
    11,923.52x = 118,558,438.83
  5. Step 5: Solve for x
    x = 118,558,438.83/11,923.52
  6. Step 6: Final answer
    x = 9,943.25

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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.