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Finding the Fourth Proportional to 11,446.48, 15,776.20 and 10,454.48

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Solution

The fourth proportional to 11,446.48, 15,776.20 and 10,454.48 is: 14,408.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,446.48 : 15,776.20 = 10,454.48 : x
  2. Step 2: Convert to fraction form
    11,446.48/15,776.20 = 10,454.48/x
  3. Step 3: Cross multiply
    11,446.48x = 15,776.20 × 10,454.48
  4. Step 4: Simplify right side
    11,446.48x = 164,931,967.38
  5. Step 5: Solve for x
    x = 164,931,967.38/11,446.48
  6. Step 6: Final answer
    x = 14,408.97

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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.