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Finding the Fourth Proportional to 4,861.96, 7,293.56 and 1,575

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Solution

The fourth proportional to 4,861.96, 7,293.56 and 1,575 is: 2,362.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,861.96 : 7,293.56 = 1,575 : x
  2. Step 2: Convert to fraction form
    4,861.96/7,293.56 = 1,575/x
  3. Step 3: Cross multiply
    4,861.96x = 7,293.56 × 1,575
  4. Step 4: Simplify right side
    4,861.96x = 11,487,357
  5. Step 5: Solve for x
    x = 11,487,357/4,861.96
  6. Step 6: Final answer
    x = 2,362.70

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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.