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Finding the Fourth Proportional to 5,641.02, 7,785.09 and 3,283.02

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Solution

The fourth proportional to 5,641.02, 7,785.09 and 3,283.02 is: 4,530.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,641.02 : 7,785.09 = 3,283.02 : x
  2. Step 2: Convert to fraction form
    5,641.02/7,785.09 = 3,283.02/x
  3. Step 3: Cross multiply
    5,641.02x = 7,785.09 × 3,283.02
  4. Step 4: Simplify right side
    5,641.02x = 25,558,606.17
  5. Step 5: Solve for x
    x = 25,558,606.17/5,641.02
  6. Step 6: Final answer
    x = 4,530.85

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Half scale
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Double scale
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Similar ratio
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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.