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Finding the Fourth Proportional to 6,991.64, 9,648.80 and 4,339.92

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Solution

The fourth proportional to 6,991.64, 9,648.80 and 4,339.92 is: 5,989.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,991.64 : 9,648.80 = 4,339.92 : x
  2. Step 2: Convert to fraction form
    6,991.64/9,648.80 = 4,339.92/x
  3. Step 3: Cross multiply
    6,991.64x = 9,648.80 × 4,339.92
  4. Step 4: Simplify right side
    6,991.64x = 41,875,020.10
  5. Step 5: Solve for x
    x = 41,875,020.10/6,991.64
  6. Step 6: Final answer
    x = 5,989.30

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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.