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Finding the Fourth Proportional to 11,564.25, 15,960.83 and 6,596.25

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Solution

The fourth proportional to 11,564.25, 15,960.83 and 6,596.25 is: 9,104.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,564.25 : 15,960.83 = 6,596.25 : x
  2. Step 2: Convert to fraction form
    11,564.25/15,960.83 = 6,596.25/x
  3. Step 3: Cross multiply
    11,564.25x = 15,960.83 × 6,596.25
  4. Step 4: Simplify right side
    11,564.25x = 105,281,591.91
  5. Step 5: Solve for x
    x = 105,281,591.91/11,564.25
  6. Step 6: Final answer
    x = 9,104.06

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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.