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Finding the Fourth Proportional to 6,533.44, 9,802.80 and 3,246.40

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Solution

The fourth proportional to 6,533.44, 9,802.80 and 3,246.40 is: 4,870.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,533.44 : 9,802.80 = 3,246.40 : x
  2. Step 2: Convert to fraction form
    6,533.44/9,802.80 = 3,246.40/x
  3. Step 3: Cross multiply
    6,533.44x = 9,802.80 × 3,246.40
  4. Step 4: Simplify right side
    6,533.44x = 31,823,809.92
  5. Step 5: Solve for x
    x = 31,823,809.92/6,533.44
  6. Step 6: Final answer
    x = 4,870.91

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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.