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Finding the Fourth Proportional to 5,001.96, 6,898.10 and 4,604.50

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Solution

The fourth proportional to 5,001.96, 6,898.10 and 4,604.50 is: 6,349.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,001.96 : 6,898.10 = 4,604.50 : x
  2. Step 2: Convert to fraction form
    5,001.96/6,898.10 = 4,604.50/x
  3. Step 3: Cross multiply
    5,001.96x = 6,898.10 × 4,604.50
  4. Step 4: Simplify right side
    5,001.96x = 31,762,287.05
  5. Step 5: Solve for x
    x = 31,762,287.05/5,001.96
  6. Step 6: Final answer
    x = 6,349.97

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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.