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Finding the Fourth Proportional to 11,364.15, 15,684.78 and 6,584.88

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Solution

The fourth proportional to 11,364.15, 15,684.78 and 6,584.88 is: 9,088.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,364.15 : 15,684.78 = 6,584.88 : x
  2. Step 2: Convert to fraction form
    11,364.15/15,684.78 = 6,584.88/x
  3. Step 3: Cross multiply
    11,364.15x = 15,684.78 × 6,584.88
  4. Step 4: Simplify right side
    11,364.15x = 103,282,394.13
  5. Step 5: Solve for x
    x = 103,282,394.13/11,364.15
  6. Step 6: Final answer
    x = 9,088.44

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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.