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Finding the Fourth Proportional to 10,632.99, 14,648.14 and 7,440.34

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Solution

The fourth proportional to 10,632.99, 14,648.14 and 7,440.34 is: 10,249.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,632.99 : 14,648.14 = 7,440.34 : x
  2. Step 2: Convert to fraction form
    10,632.99/14,648.14 = 7,440.34/x
  3. Step 3: Cross multiply
    10,632.99x = 14,648.14 × 7,440.34
  4. Step 4: Simplify right side
    10,632.99x = 108,987,141.97
  5. Step 5: Solve for x
    x = 108,987,141.97/10,632.99
  6. Step 6: Final answer
    x = 10,249.91

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Double scale
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Similar ratio
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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.