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Finding the Fourth Proportional to 9,784.92, 13,490.48 and 6,241.98

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Solution

The fourth proportional to 9,784.92, 13,490.48 and 6,241.98 is: 8,605.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,784.92 : 13,490.48 = 6,241.98 : x
  2. Step 2: Convert to fraction form
    9,784.92/13,490.48 = 6,241.98/x
  3. Step 3: Cross multiply
    9,784.92x = 13,490.48 × 6,241.98
  4. Step 4: Simplify right side
    9,784.92x = 84,207,306.35
  5. Step 5: Solve for x
    x = 84,207,306.35/9,784.92
  6. Step 6: Final answer
    x = 8,605.82

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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.