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Finding the Fourth Proportional to 6,854.66, 10,282.64 and 1,924.28

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Solution

The fourth proportional to 6,854.66, 10,282.64 and 1,924.28 is: 2,886.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,854.66 : 10,282.64 = 1,924.28 : x
  2. Step 2: Convert to fraction form
    6,854.66/10,282.64 = 1,924.28/x
  3. Step 3: Cross multiply
    6,854.66x = 10,282.64 × 1,924.28
  4. Step 4: Simplify right side
    6,854.66x = 19,786,678.50
  5. Step 5: Solve for x
    x = 19,786,678.50/6,854.66
  6. Step 6: Final answer
    x = 2,886.60

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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.