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Finding the Fourth Proportional to 7,714.66, 10,649.91 and 4,883.41

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Solution

The fourth proportional to 7,714.66, 10,649.91 and 4,883.41 is: 6,741.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,714.66 : 10,649.91 = 4,883.41 : x
  2. Step 2: Convert to fraction form
    7,714.66/10,649.91 = 4,883.41/x
  3. Step 3: Cross multiply
    7,714.66x = 10,649.91 × 4,883.41
  4. Step 4: Simplify right side
    7,714.66x = 52,007,848.71
  5. Step 5: Solve for x
    x = 52,007,848.71/7,714.66
  6. Step 6: Final answer
    x = 6,741.43

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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.