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Finding the Fourth Proportional to 6,854.42, 10,280.12 and 1,923.95

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Solution

The fourth proportional to 6,854.42, 10,280.12 and 1,923.95 is: 2,885.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,854.42 : 10,280.12 = 1,923.95 : x
  2. Step 2: Convert to fraction form
    6,854.42/10,280.12 = 1,923.95/x
  3. Step 3: Cross multiply
    6,854.42x = 10,280.12 × 1,923.95
  4. Step 4: Simplify right side
    6,854.42x = 19,778,452.95
  5. Step 5: Solve for x
    x = 19,778,452.95/6,854.42
  6. Step 6: Final answer
    x = 2,885.50

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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.