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Finding the Fourth Proportional to 5,609.10, 8,456.21 and 5,609.10

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Solution

The fourth proportional to 5,609.10, 8,456.21 and 5,609.10 is: 8,456.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,609.10 : 8,456.21 = 5,609.10 : x
  2. Step 2: Convert to fraction form
    5,609.10/8,456.21 = 5,609.10/x
  3. Step 3: Cross multiply
    5,609.10x = 8,456.21 × 5,609.10
  4. Step 4: Simplify right side
    5,609.10x = 47,431,699.47
  5. Step 5: Solve for x
    x = 47,431,699.47/5,609.10
  6. Step 6: Final answer
    x = 8,456.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.