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Finding the Fourth Proportional to 11,635.46, 16,062.38 and 7,446.14

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Solution

The fourth proportional to 11,635.46, 16,062.38 and 7,446.14 is: 10,279.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,635.46 : 16,062.38 = 7,446.14 : x
  2. Step 2: Convert to fraction form
    11,635.46/16,062.38 = 7,446.14/x
  3. Step 3: Cross multiply
    11,635.46x = 16,062.38 × 7,446.14
  4. Step 4: Simplify right side
    11,635.46x = 119,602,730.21
  5. Step 5: Solve for x
    x = 119,602,730.21/11,635.46
  6. Step 6: Final answer
    x = 10,279.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.