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Finding the Fourth Proportional to 4,663.72, 6,995.58 and 1,542.89

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Solution

The fourth proportional to 4,663.72, 6,995.58 and 1,542.89 is: 2,314.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,663.72 : 6,995.58 = 1,542.89 : x
  2. Step 2: Convert to fraction form
    4,663.72/6,995.58 = 1,542.89/x
  3. Step 3: Cross multiply
    4,663.72x = 6,995.58 × 1,542.89
  4. Step 4: Simplify right side
    4,663.72x = 10,793,410.43
  5. Step 5: Solve for x
    x = 10,793,410.43/4,663.72
  6. Step 6: Final answer
    x = 2,314.34

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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.