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Finding the Fourth Proportional to 7,818.61, 11,727.97 and 1,975.22

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Solution

The fourth proportional to 7,818.61, 11,727.97 and 1,975.22 is: 2,962.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,818.61 : 11,727.97 = 1,975.22 : x
  2. Step 2: Convert to fraction form
    7,818.61/11,727.97 = 1,975.22/x
  3. Step 3: Cross multiply
    7,818.61x = 11,727.97 × 1,975.22
  4. Step 4: Simplify right side
    7,818.61x = 23,165,320.90
  5. Step 5: Solve for x
    x = 23,165,320.90/7,818.61
  6. Step 6: Final answer
    x = 2,962.84

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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.