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Finding the Fourth Proportional to 5,297.50, 7,946.25 and 1,599.76

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Solution

The fourth proportional to 5,297.50, 7,946.25 and 1,599.76 is: 2,399.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,297.50 : 7,946.25 = 1,599.76 : x
  2. Step 2: Convert to fraction form
    5,297.50/7,946.25 = 1,599.76/x
  3. Step 3: Cross multiply
    5,297.50x = 7,946.25 × 1,599.76
  4. Step 4: Simplify right side
    5,297.50x = 12,712,092.90
  5. Step 5: Solve for x
    x = 12,712,092.90/5,297.50
  6. Step 6: Final answer
    x = 2,399.64

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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.