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Finding the Fourth Proportional to 6,563.84, 9,059.46 and 6,355.76

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Solution

The fourth proportional to 6,563.84, 9,059.46 and 6,355.76 is: 8,772.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,563.84 : 9,059.46 = 6,355.76 : x
  2. Step 2: Convert to fraction form
    6,563.84/9,059.46 = 6,355.76/x
  3. Step 3: Cross multiply
    6,563.84x = 9,059.46 × 6,355.76
  4. Step 4: Simplify right side
    6,563.84x = 57,579,753.49
  5. Step 5: Solve for x
    x = 57,579,753.49/6,563.84
  6. Step 6: Final answer
    x = 8,772.27

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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.