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Finding the Fourth Proportional to 6,784.61, 10,176.10 and 1,854.68

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Solution

The fourth proportional to 6,784.61, 10,176.10 and 1,854.68 is: 2,781.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,784.61 : 10,176.10 = 1,854.68 : x
  2. Step 2: Convert to fraction form
    6,784.61/10,176.10 = 1,854.68/x
  3. Step 3: Cross multiply
    6,784.61x = 10,176.10 × 1,854.68
  4. Step 4: Simplify right side
    6,784.61x = 18,873,409.15
  5. Step 5: Solve for x
    x = 18,873,409.15/6,784.61
  6. Step 6: Final answer
    x = 2,781.80

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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.