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Finding the Fourth Proportional to 11,584.91, 15,987 and 6,548.95

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Solution

The fourth proportional to 11,584.91, 15,987 and 6,548.95 is: 9,037.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,584.91 : 15,987 = 6,548.95 : x
  2. Step 2: Convert to fraction form
    11,584.91/15,987 = 6,548.95/x
  3. Step 3: Cross multiply
    11,584.91x = 15,987 × 6,548.95
  4. Step 4: Simplify right side
    11,584.91x = 104,698,063.65
  5. Step 5: Solve for x
    x = 104,698,063.65/11,584.91
  6. Step 6: Final answer
    x = 9,037.46

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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.