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Finding the Fourth Proportional to 6,533.77, 9,800.69 and 3,246.10

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Solution

The fourth proportional to 6,533.77, 9,800.69 and 3,246.10 is: 4,869.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,533.77 : 9,800.69 = 3,246.10 : x
  2. Step 2: Convert to fraction form
    6,533.77/9,800.69 = 3,246.10/x
  3. Step 3: Cross multiply
    6,533.77x = 9,800.69 × 3,246.10
  4. Step 4: Simplify right side
    6,533.77x = 31,814,019.81
  5. Step 5: Solve for x
    x = 31,814,019.81/6,533.77
  6. Step 6: Final answer
    x = 4,869.17

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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.