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Finding the Fourth Proportional to 9,843.48, 13,580.60 and 6,308.64

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Solution

The fourth proportional to 9,843.48, 13,580.60 and 6,308.64 is: 8,703.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,843.48 : 13,580.60 = 6,308.64 : x
  2. Step 2: Convert to fraction form
    9,843.48/13,580.60 = 6,308.64/x
  3. Step 3: Cross multiply
    9,843.48x = 13,580.60 × 6,308.64
  4. Step 4: Simplify right side
    9,843.48x = 85,675,084.84
  5. Step 5: Solve for x
    x = 85,675,084.84/9,843.48
  6. Step 6: Final answer
    x = 8,703.74

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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.