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Finding the Fourth Proportional to 9,805.36, 13,535.76 and 5,827.76

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Solution

The fourth proportional to 9,805.36, 13,535.76 and 5,827.76 is: 8,044.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,805.36 : 13,535.76 = 5,827.76 : x
  2. Step 2: Convert to fraction form
    9,805.36/13,535.76 = 5,827.76/x
  3. Step 3: Cross multiply
    9,805.36x = 13,535.76 × 5,827.76
  4. Step 4: Simplify right side
    9,805.36x = 78,883,160.70
  5. Step 5: Solve for x
    x = 78,883,160.70/9,805.36
  6. Step 6: Final answer
    x = 8,044.90

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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.