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Finding the Fourth Proportional to 9,832.86, 14,741.62 and 6,705.12

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Solution

The fourth proportional to 9,832.86, 14,741.62 and 6,705.12 is: 10,052.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,832.86 : 14,741.62 = 6,705.12 : x
  2. Step 2: Convert to fraction form
    9,832.86/14,741.62 = 6,705.12/x
  3. Step 3: Cross multiply
    9,832.86x = 14,741.62 × 6,705.12
  4. Step 4: Simplify right side
    9,832.86x = 98,844,331.09
  5. Step 5: Solve for x
    x = 98,844,331.09/9,832.86
  6. Step 6: Final answer
    x = 10,052.45

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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.