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Finding the Fourth Proportional to 10,513.44, 14,514.48 and 6,981.48

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Solution

The fourth proportional to 10,513.44, 14,514.48 and 6,981.48 is: 9,638.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,513.44 : 14,514.48 = 6,981.48 : x
  2. Step 2: Convert to fraction form
    10,513.44/14,514.48 = 6,981.48/x
  3. Step 3: Cross multiply
    10,513.44x = 14,514.48 × 6,981.48
  4. Step 4: Simplify right side
    10,513.44x = 101,332,551.83
  5. Step 5: Solve for x
    x = 101,332,551.83/10,513.44
  6. Step 6: Final answer
    x = 9,638.38

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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.