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Finding the Fourth Proportional to 4,768.71, 7,152.99 and 2,302.26

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Solution

The fourth proportional to 4,768.71, 7,152.99 and 2,302.26 is: 3,453.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,768.71 : 7,152.99 = 2,302.26 : x
  2. Step 2: Convert to fraction form
    4,768.71/7,152.99 = 2,302.26/x
  3. Step 3: Cross multiply
    4,768.71x = 7,152.99 × 2,302.26
  4. Step 4: Simplify right side
    4,768.71x = 16,468,042.76
  5. Step 5: Solve for x
    x = 16,468,042.76/4,768.71
  6. Step 6: Final answer
    x = 3,453.35

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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.