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Finding the Fourth Proportional to 9,699.74, 14,568.07 and 6,027.63

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Solution

The fourth proportional to 9,699.74, 14,568.07 and 6,027.63 is: 9,052.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,699.74 : 14,568.07 = 6,027.63 : x
  2. Step 2: Convert to fraction form
    9,699.74/14,568.07 = 6,027.63/x
  3. Step 3: Cross multiply
    9,699.74x = 14,568.07 × 6,027.63
  4. Step 4: Simplify right side
    9,699.74x = 87,810,905.64
  5. Step 5: Solve for x
    x = 87,810,905.64/9,699.74
  6. Step 6: Final answer
    x = 9,052.91

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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.