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Finding the Fourth Proportional to 4,723.84, 6,515 and 4,193.10

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Solution

The fourth proportional to 4,723.84, 6,515 and 4,193.10 is: 5,783.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,723.84 : 6,515 = 4,193.10 : x
  2. Step 2: Convert to fraction form
    4,723.84/6,515 = 4,193.10/x
  3. Step 3: Cross multiply
    4,723.84x = 6,515 × 4,193.10
  4. Step 4: Simplify right side
    4,723.84x = 27,318,046.50
  5. Step 5: Solve for x
    x = 27,318,046.50/4,723.84
  6. Step 6: Final answer
    x = 5,783.02

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Half scale
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Double scale
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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.