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Finding the Fourth Proportional to 6,991.86, 9,648.60 and 4,009.44

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Solution

The fourth proportional to 6,991.86, 9,648.60 and 4,009.44 is: 5,532.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,991.86 : 9,648.60 = 4,009.44 : x
  2. Step 2: Convert to fraction form
    6,991.86/9,648.60 = 4,009.44/x
  3. Step 3: Cross multiply
    6,991.86x = 9,648.60 × 4,009.44
  4. Step 4: Simplify right side
    6,991.86x = 38,685,482.78
  5. Step 5: Solve for x
    x = 38,685,482.78/6,991.86
  6. Step 6: Final answer
    x = 5,532.93

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Half 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.