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Finding the Fourth Proportional to 5,564.88, 7,675.10 and 3,575.64

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Solution

The fourth proportional to 5,564.88, 7,675.10 and 3,575.64 is: 4,931.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,564.88 : 7,675.10 = 3,575.64 : x
  2. Step 2: Convert to fraction form
    5,564.88/7,675.10 = 3,575.64/x
  3. Step 3: Cross multiply
    5,564.88x = 7,675.10 × 3,575.64
  4. Step 4: Simplify right side
    5,564.88x = 27,443,394.56
  5. Step 5: Solve for x
    x = 27,443,394.56/5,564.88
  6. Step 6: Final answer
    x = 4,931.53

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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.