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Finding the Fourth Proportional to 10,452.96, 15,684.48 and 6,556.32

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Solution

The fourth proportional to 10,452.96, 15,684.48 and 6,556.32 is: 9,837.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,452.96 : 15,684.48 = 6,556.32 : x
  2. Step 2: Convert to fraction form
    10,452.96/15,684.48 = 6,556.32/x
  3. Step 3: Cross multiply
    10,452.96x = 15,684.48 × 6,556.32
  4. Step 4: Simplify right side
    10,452.96x = 102,832,469.91
  5. Step 5: Solve for x
    x = 102,832,469.91/10,452.96
  6. Step 6: Final answer
    x = 9,837.64

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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.