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Finding the Fourth Proportional to 7,709.80, 11,564.70 and 6,596.20

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Solution

The fourth proportional to 7,709.80, 11,564.70 and 6,596.20 is: 9,894.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,709.80 : 11,564.70 = 6,596.20 : x
  2. Step 2: Convert to fraction form
    7,709.80/11,564.70 = 6,596.20/x
  3. Step 3: Cross multiply
    7,709.80x = 11,564.70 × 6,596.20
  4. Step 4: Simplify right side
    7,709.80x = 76,283,074.14
  5. Step 5: Solve for x
    x = 76,283,074.14/7,709.80
  6. Step 6: Final answer
    x = 9,894.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.