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Finding the Fourth Proportional to 6,533.76, 9,802.08 and 2,836.56

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Solution

The fourth proportional to 6,533.76, 9,802.08 and 2,836.56 is: 4,255.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,533.76 : 9,802.08 = 2,836.56 : x
  2. Step 2: Convert to fraction form
    6,533.76/9,802.08 = 2,836.56/x
  3. Step 3: Cross multiply
    6,533.76x = 9,802.08 × 2,836.56
  4. Step 4: Simplify right side
    6,533.76x = 27,804,188.04
  5. Step 5: Solve for x
    x = 27,804,188.04/6,533.76
  6. Step 6: Final answer
    x = 4,255.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.