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Finding the Fourth Proportional to 9,808.20, 13,533.98 and 5,827.86

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Solution

The fourth proportional to 9,808.20, 13,533.98 and 5,827.86 is: 8,041.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,808.20 : 13,533.98 = 5,827.86 : x
  2. Step 2: Convert to fraction form
    9,808.20/13,533.98 = 5,827.86/x
  3. Step 3: Cross multiply
    9,808.20x = 13,533.98 × 5,827.86
  4. Step 4: Simplify right side
    9,808.20x = 78,874,140.68
  5. Step 5: Solve for x
    x = 78,874,140.68/9,808.20
  6. Step 6: Final answer
    x = 8,041.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.