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Finding the Fourth Proportional to 6,646.26, 9,971.65 and 4,178.19

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Solution

The fourth proportional to 6,646.26, 9,971.65 and 4,178.19 is: 6,268.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,646.26 : 9,971.65 = 4,178.19 : x
  2. Step 2: Convert to fraction form
    6,646.26/9,971.65 = 4,178.19/x
  3. Step 3: Cross multiply
    6,646.26x = 9,971.65 × 4,178.19
  4. Step 4: Simplify right side
    6,646.26x = 41,663,398.46
  5. Step 5: Solve for x
    x = 41,663,398.46/6,646.26
  6. Step 6: Final answer
    x = 6,268.70

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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.