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Finding the Fourth Proportional to 7,182.64, 10,773.94 and 1,988.50

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Solution

The fourth proportional to 7,182.64, 10,773.94 and 1,988.50 is: 2,982.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,182.64 : 10,773.94 = 1,988.50 : x
  2. Step 2: Convert to fraction form
    7,182.64/10,773.94 = 1,988.50/x
  3. Step 3: Cross multiply
    7,182.64x = 10,773.94 × 1,988.50
  4. Step 4: Simplify right side
    7,182.64x = 21,423,979.69
  5. Step 5: Solve for x
    x = 21,423,979.69/7,182.64
  6. Step 6: Final answer
    x = 2,982.74

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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.