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Finding the Fourth Proportional to 4,997.40, 6,846.40 and 4,810.46

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Solution

The fourth proportional to 4,997.40, 6,846.40 and 4,810.46 is: 6,590.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,997.40 : 6,846.40 = 4,810.46 : x
  2. Step 2: Convert to fraction form
    4,997.40/6,846.40 = 4,810.46/x
  3. Step 3: Cross multiply
    4,997.40x = 6,846.40 × 4,810.46
  4. Step 4: Simplify right side
    4,997.40x = 32,934,333.34
  5. Step 5: Solve for x
    x = 32,934,333.34/4,997.40
  6. Step 6: Final answer
    x = 6,590.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.