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Finding the Fourth Proportional to 9,804.35, 13,532.76 and 8,040.17

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Solution

The fourth proportional to 9,804.35, 13,532.76 and 8,040.17 is: 11,097.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,804.35 : 13,532.76 = 8,040.17 : x
  2. Step 2: Convert to fraction form
    9,804.35/13,532.76 = 8,040.17/x
  3. Step 3: Cross multiply
    9,804.35x = 13,532.76 × 8,040.17
  4. Step 4: Simplify right side
    9,804.35x = 108,805,690.97
  5. Step 5: Solve for x
    x = 108,805,690.97/9,804.35
  6. Step 6: Final answer
    x = 11,097.70

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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.