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Finding the Fourth Proportional to 7,766.32, 10,645.24 and 7,656.96

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Solution

The fourth proportional to 7,766.32, 10,645.24 and 7,656.96 is: 10,495.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,766.32 : 10,645.24 = 7,656.96 : x
  2. Step 2: Convert to fraction form
    7,766.32/10,645.24 = 7,656.96/x
  3. Step 3: Cross multiply
    7,766.32x = 10,645.24 × 7,656.96
  4. Step 4: Simplify right side
    7,766.32x = 81,510,176.87
  5. Step 5: Solve for x
    x = 81,510,176.87/7,766.32
  6. Step 6: Final answer
    x = 10,495.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.