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Finding the Fourth Proportional to 9,804.49, 13,529.64 and 5,823.07

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Solution

The fourth proportional to 9,804.49, 13,529.64 and 5,823.07 is: 8,035.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,804.49 : 13,529.64 = 5,823.07 : x
  2. Step 2: Convert to fraction form
    9,804.49/13,529.64 = 5,823.07/x
  3. Step 3: Cross multiply
    9,804.49x = 13,529.64 × 5,823.07
  4. Step 4: Simplify right side
    9,804.49x = 78,784,040.79
  5. Step 5: Solve for x
    x = 78,784,040.79/9,804.49
  6. Step 6: Final answer
    x = 8,035.51

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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.