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Finding the Fourth Proportional to 7,646.50, 10,556.01 and 7,185.70

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Solution

The fourth proportional to 7,646.50, 10,556.01 and 7,185.70 is: 9,919.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,646.50 : 10,556.01 = 7,185.70 : x
  2. Step 2: Convert to fraction form
    7,646.50/10,556.01 = 7,185.70/x
  3. Step 3: Cross multiply
    7,646.50x = 10,556.01 × 7,185.70
  4. Step 4: Simplify right side
    7,646.50x = 75,852,321.06
  5. Step 5: Solve for x
    x = 75,852,321.06/7,646.50
  6. Step 6: Final answer
    x = 9,919.87

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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.