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Finding the Fourth Proportional to 9,714.34, 14,571.52 and 4,164.10

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Solution

The fourth proportional to 9,714.34, 14,571.52 and 4,164.10 is: 6,246.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,714.34 : 14,571.52 = 4,164.10 : x
  2. Step 2: Convert to fraction form
    9,714.34/14,571.52 = 4,164.10/x
  3. Step 3: Cross multiply
    9,714.34x = 14,571.52 × 4,164.10
  4. Step 4: Simplify right side
    9,714.34x = 60,677,266.43
  5. Step 5: Solve for x
    x = 60,677,266.43/9,714.34
  6. Step 6: Final answer
    x = 6,246.15

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Similar ratio
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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.