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Finding the Fourth Proportional to 5,029, 7,543.38 and 1,744.36

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Solution

The fourth proportional to 5,029, 7,543.38 and 1,744.36 is: 2,616.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,029 : 7,543.38 = 1,744.36 : x
  2. Step 2: Convert to fraction form
    5,029/7,543.38 = 1,744.36/x
  3. Step 3: Cross multiply
    5,029x = 7,543.38 × 1,744.36
  4. Step 4: Simplify right side
    5,029x = 13,158,370.34
  5. Step 5: Solve for x
    x = 13,158,370.34/5,029
  6. Step 6: Final answer
    x = 2,616.50

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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.