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Finding the Fourth Proportional to 9,808.86, 13,532.06 and 5,827.82

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Solution

The fourth proportional to 9,808.86, 13,532.06 and 5,827.82 is: 8,039.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,808.86 : 13,532.06 = 5,827.82 : x
  2. Step 2: Convert to fraction form
    9,808.86/13,532.06 = 5,827.82/x
  3. Step 3: Cross multiply
    9,808.86x = 13,532.06 × 5,827.82
  4. Step 4: Simplify right side
    9,808.86x = 78,862,313.11
  5. Step 5: Solve for x
    x = 78,862,313.11/9,808.86
  6. Step 6: Final answer
    x = 8,039.91

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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.