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Finding the Fourth Proportional to 6,533.86, 9,800.96 and 1,854.02

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Solution

The fourth proportional to 6,533.86, 9,800.96 and 1,854.02 is: 2,781.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,533.86 : 9,800.96 = 1,854.02 : x
  2. Step 2: Convert to fraction form
    6,533.86/9,800.96 = 1,854.02/x
  3. Step 3: Cross multiply
    6,533.86x = 9,800.96 × 1,854.02
  4. Step 4: Simplify right side
    6,533.86x = 18,171,117.58
  5. Step 5: Solve for x
    x = 18,171,117.58/6,533.86
  6. Step 6: Final answer
    x = 2,781.07

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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.