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Finding the Fourth Proportional to 6,999.60, 9,660.96 and 4,642.08

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Solution

The fourth proportional to 6,999.60, 9,660.96 and 4,642.08 is: 6,407.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,999.60 : 9,660.96 = 4,642.08 : x
  2. Step 2: Convert to fraction form
    6,999.60/9,660.96 = 4,642.08/x
  3. Step 3: Cross multiply
    6,999.60x = 9,660.96 × 4,642.08
  4. Step 4: Simplify right side
    6,999.60x = 44,846,949.20
  5. Step 5: Solve for x
    x = 44,846,949.20/6,999.60
  6. Step 6: Final answer
    x = 6,407.07

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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.