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Finding the Fourth Proportional to 6,646.39, 9,969.58 and 1,966.46

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Solution

The fourth proportional to 6,646.39, 9,969.58 and 1,966.46 is: 2,949.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,646.39 : 9,969.58 = 1,966.46 : x
  2. Step 2: Convert to fraction form
    6,646.39/9,969.58 = 1,966.46/x
  3. Step 3: Cross multiply
    6,646.39x = 9,969.58 × 1,966.46
  4. Step 4: Simplify right side
    6,646.39x = 19,604,780.29
  5. Step 5: Solve for x
    x = 19,604,780.29/6,646.39
  6. Step 6: Final answer
    x = 2,949.69

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Double scale
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Similar ratio
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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.