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Finding the Fourth Proportional to 6,696.80, 9,242.55 and 3,864.63

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Solution

The fourth proportional to 6,696.80, 9,242.55 and 3,864.63 is: 5,333.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,696.80 : 9,242.55 = 3,864.63 : x
  2. Step 2: Convert to fraction form
    6,696.80/9,242.55 = 3,864.63/x
  3. Step 3: Cross multiply
    6,696.80x = 9,242.55 × 3,864.63
  4. Step 4: Simplify right side
    6,696.80x = 35,719,036.01
  5. Step 5: Solve for x
    x = 35,719,036.01/6,696.80
  6. Step 6: Final answer
    x = 5,333.75

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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.