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Finding the Fourth Proportional to 7,187.76, 10,781.64 and 3,290.16

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Solution

The fourth proportional to 7,187.76, 10,781.64 and 3,290.16 is: 4,935.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,187.76 : 10,781.64 = 3,290.16 : x
  2. Step 2: Convert to fraction form
    7,187.76/10,781.64 = 3,290.16/x
  3. Step 3: Cross multiply
    7,187.76x = 10,781.64 × 3,290.16
  4. Step 4: Simplify right side
    7,187.76x = 35,473,320.66
  5. Step 5: Solve for x
    x = 35,473,320.66/7,187.76
  6. Step 6: Final answer
    x = 4,935.24

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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.