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Finding the Fourth Proportional to 7,575.84, 11,371.14 and 4,659.84

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Solution

The fourth proportional to 7,575.84, 11,371.14 and 4,659.84 is: 6,994.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,575.84 : 11,371.14 = 4,659.84 : x
  2. Step 2: Convert to fraction form
    7,575.84/11,371.14 = 4,659.84/x
  3. Step 3: Cross multiply
    7,575.84x = 11,371.14 × 4,659.84
  4. Step 4: Simplify right side
    7,575.84x = 52,987,693.02
  5. Step 5: Solve for x
    x = 52,987,693.02/7,575.84
  6. Step 6: Final answer
    x = 6,994.30

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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.