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Finding the Fourth Proportional to 4,997.92, 6,897.96 and 4,776.48

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Solution

The fourth proportional to 4,997.92, 6,897.96 and 4,776.48 is: 6,592.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,997.92 : 6,897.96 = 4,776.48 : x
  2. Step 2: Convert to fraction form
    4,997.92/6,897.96 = 4,776.48/x
  3. Step 3: Cross multiply
    4,997.92x = 6,897.96 × 4,776.48
  4. Step 4: Simplify right side
    4,997.92x = 32,947,967.98
  5. Step 5: Solve for x
    x = 32,947,967.98/4,997.92
  6. Step 6: Final answer
    x = 6,592.34

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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.