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Finding the Fourth Proportional to 7,666, 10,578.32 and 4,308.24

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Solution

The fourth proportional to 7,666, 10,578.32 and 4,308.24 is: 5,944.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,666 : 10,578.32 = 4,308.24 : x
  2. Step 2: Convert to fraction form
    7,666/10,578.32 = 4,308.24/x
  3. Step 3: Cross multiply
    7,666x = 10,578.32 × 4,308.24
  4. Step 4: Simplify right side
    7,666x = 45,573,941.36
  5. Step 5: Solve for x
    x = 45,573,941.36/7,666
  6. Step 6: Final answer
    x = 5,944.94

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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.