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Finding the Fourth Proportional to 9,857.43, 14,741.21 and 7,360.35

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Solution

The fourth proportional to 9,857.43, 14,741.21 and 7,360.35 is: 11,006.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,857.43 : 14,741.21 = 7,360.35 : x
  2. Step 2: Convert to fraction form
    9,857.43/14,741.21 = 7,360.35/x
  3. Step 3: Cross multiply
    9,857.43x = 14,741.21 × 7,360.35
  4. Step 4: Simplify right side
    9,857.43x = 108,500,428.22
  5. Step 5: Solve for x
    x = 108,500,428.22/9,857.43
  6. Step 6: Final answer
    x = 11,006.97

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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.