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Finding the Fourth Proportional to 9,848.32, 14,757.90 and 8,105.72

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Solution

The fourth proportional to 9,848.32, 14,757.90 and 8,105.72 is: 12,146.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,848.32 : 14,757.90 = 8,105.72 : x
  2. Step 2: Convert to fraction form
    9,848.32/14,757.90 = 8,105.72/x
  3. Step 3: Cross multiply
    9,848.32x = 14,757.90 × 8,105.72
  4. Step 4: Simplify right side
    9,848.32x = 119,623,405.19
  5. Step 5: Solve for x
    x = 119,623,405.19/9,848.32
  6. Step 6: Final answer
    x = 12,146.58

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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.