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Finding the Fourth Proportional to 6,854.34, 10,280.74 and 1,924.17

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Solution

The fourth proportional to 6,854.34, 10,280.74 and 1,924.17 is: 2,886.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,854.34 : 10,280.74 = 1,924.17 : x
  2. Step 2: Convert to fraction form
    6,854.34/10,280.74 = 1,924.17/x
  3. Step 3: Cross multiply
    6,854.34x = 10,280.74 × 1,924.17
  4. Step 4: Simplify right side
    6,854.34x = 19,781,891.49
  5. Step 5: Solve for x
    x = 19,781,891.49/6,854.34
  6. Step 6: Final answer
    x = 2,886.04

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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.