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Finding the Fourth Proportional to 5,609.55, 8,415.14 and 1,713.45

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Solution

The fourth proportional to 5,609.55, 8,415.14 and 1,713.45 is: 2,570.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,609.55 : 8,415.14 = 1,713.45 : x
  2. Step 2: Convert to fraction form
    5,609.55/8,415.14 = 1,713.45/x
  3. Step 3: Cross multiply
    5,609.55x = 8,415.14 × 1,713.45
  4. Step 4: Simplify right side
    5,609.55x = 14,418,954.26
  5. Step 5: Solve for x
    x = 14,418,954.26/5,609.55
  6. Step 6: Final answer
    x = 2,570.43

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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.