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Finding the Fourth Proportional to 9,805.79, 13,535.57 and 6,034.03

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Solution

The fourth proportional to 9,805.79, 13,535.57 and 6,034.03 is: 8,329.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,805.79 : 13,535.57 = 6,034.03 : x
  2. Step 2: Convert to fraction form
    9,805.79/13,535.57 = 6,034.03/x
  3. Step 3: Cross multiply
    9,805.79x = 13,535.57 × 6,034.03
  4. Step 4: Simplify right side
    9,805.79x = 81,674,016.69
  5. Step 5: Solve for x
    x = 81,674,016.69/9,805.79
  6. Step 6: Final answer
    x = 8,329.16

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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.