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Finding the Fourth Proportional to 6,540.14, 9,810.18 and 1,923.14

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Solution

The fourth proportional to 6,540.14, 9,810.18 and 1,923.14 is: 2,884.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,540.14 : 9,810.18 = 1,923.14 : x
  2. Step 2: Convert to fraction form
    6,540.14/9,810.18 = 1,923.14/x
  3. Step 3: Cross multiply
    6,540.14x = 9,810.18 × 1,923.14
  4. Step 4: Simplify right side
    6,540.14x = 18,866,349.57
  5. Step 5: Solve for x
    x = 18,866,349.57/6,540.14
  6. Step 6: Final answer
    x = 2,884.70

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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.