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Finding the Fourth Proportional to 6,646.77, 9,967.80 and 1,965.54

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Solution

The fourth proportional to 6,646.77, 9,967.80 and 1,965.54 is: 2,947.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,646.77 : 9,967.80 = 1,965.54 : x
  2. Step 2: Convert to fraction form
    6,646.77/9,967.80 = 1,965.54/x
  3. Step 3: Cross multiply
    6,646.77x = 9,967.80 × 1,965.54
  4. Step 4: Simplify right side
    6,646.77x = 19,592,109.61
  5. Step 5: Solve for x
    x = 19,592,109.61/6,646.77
  6. Step 6: Final answer
    x = 2,947.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.