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Finding the Fourth Proportional to 9,714.61, 14,571.88 and 4,164.35

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Solution

The fourth proportional to 9,714.61, 14,571.88 and 4,164.35 is: 6,246.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,714.61 : 14,571.88 = 4,164.35 : x
  2. Step 2: Convert to fraction form
    9,714.61/14,571.88 = 4,164.35/x
  3. Step 3: Cross multiply
    9,714.61x = 14,571.88 × 4,164.35
  4. Step 4: Simplify right side
    9,714.61x = 60,682,405.87
  5. Step 5: Solve for x
    x = 60,682,405.87/9,714.61
  6. Step 6: Final answer
    x = 6,246.51

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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.