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Finding the Fourth Proportional to 9,784.96, 13,503.42 and 5,805.97

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Solution

The fourth proportional to 9,784.96, 13,503.42 and 5,805.97 is: 8,012.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,784.96 : 13,503.42 = 5,805.97 : x
  2. Step 2: Convert to fraction form
    9,784.96/13,503.42 = 5,805.97/x
  3. Step 3: Cross multiply
    9,784.96x = 13,503.42 × 5,805.97
  4. Step 4: Simplify right side
    9,784.96x = 78,400,417.66
  5. Step 5: Solve for x
    x = 78,400,417.66/9,784.96
  6. Step 6: Final answer
    x = 8,012.34

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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.