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Finding the Fourth Proportional to 9,856.64, 13,602.06 and 6,078.29

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Solution

The fourth proportional to 9,856.64, 13,602.06 and 6,078.29 is: 8,387.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,856.64 : 13,602.06 = 6,078.29 : x
  2. Step 2: Convert to fraction form
    9,856.64/13,602.06 = 6,078.29/x
  3. Step 3: Cross multiply
    9,856.64x = 13,602.06 × 6,078.29
  4. Step 4: Simplify right side
    9,856.64x = 82,677,197.27
  5. Step 5: Solve for x
    x = 82,677,197.27/9,856.64
  6. Step 6: Final answer
    x = 8,387.97

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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.