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Finding the Fourth Proportional to 7,714.40, 11,575.80 and 4,204.20

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Solution

The fourth proportional to 7,714.40, 11,575.80 and 4,204.20 is: 6,308.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,714.40 : 11,575.80 = 4,204.20 : x
  2. Step 2: Convert to fraction form
    7,714.40/11,575.80 = 4,204.20/x
  3. Step 3: Cross multiply
    7,714.40x = 11,575.80 × 4,204.20
  4. Step 4: Simplify right side
    7,714.40x = 48,666,978.36
  5. Step 5: Solve for x
    x = 48,666,978.36/7,714.40
  6. Step 6: Final answer
    x = 6,308.59

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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.