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Finding the Fourth Proportional to 9,854.66, 13,600.75 and 6,269.97

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Solution

The fourth proportional to 9,854.66, 13,600.75 and 6,269.97 is: 8,653.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,854.66 : 13,600.75 = 6,269.97 : x
  2. Step 2: Convert to fraction form
    9,854.66/13,600.75 = 6,269.97/x
  3. Step 3: Cross multiply
    9,854.66x = 13,600.75 × 6,269.97
  4. Step 4: Simplify right side
    9,854.66x = 85,276,275.37
  5. Step 5: Solve for x
    x = 85,276,275.37/9,854.66
  6. Step 6: Final answer
    x = 8,653.40

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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.