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Finding the Fourth Proportional to 9,714.44, 14,550.60 and 6,017.60

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Solution

The fourth proportional to 9,714.44, 14,550.60 and 6,017.60 is: 9,013.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,714.44 : 14,550.60 = 6,017.60 : x
  2. Step 2: Convert to fraction form
    9,714.44/14,550.60 = 6,017.60/x
  3. Step 3: Cross multiply
    9,714.44x = 14,550.60 × 6,017.60
  4. Step 4: Simplify right side
    9,714.44x = 87,559,690.56
  5. Step 5: Solve for x
    x = 87,559,690.56/9,714.44
  6. Step 6: Final answer
    x = 9,013.35

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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.