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Finding the Fourth Proportional to 7,976.09, 11,007 and 4,440.14

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Solution

The fourth proportional to 7,976.09, 11,007 and 4,440.14 is: 6,127.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,976.09 : 11,007 = 4,440.14 : x
  2. Step 2: Convert to fraction form
    7,976.09/11,007 = 4,440.14/x
  3. Step 3: Cross multiply
    7,976.09x = 11,007 × 4,440.14
  4. Step 4: Simplify right side
    7,976.09x = 48,872,565.95
  5. Step 5: Solve for x
    x = 48,872,565.95/7,976.09
  6. Step 6: Final answer
    x = 6,127.39

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Double scale
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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.