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Finding the Fourth Proportional to 6,275.34, 9,410.45 and 2,575.04

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Solution

The fourth proportional to 6,275.34, 9,410.45 and 2,575.04 is: 3,861.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,275.34 : 9,410.45 = 2,575.04 : x
  2. Step 2: Convert to fraction form
    6,275.34/9,410.45 = 2,575.04/x
  3. Step 3: Cross multiply
    6,275.34x = 9,410.45 × 2,575.04
  4. Step 4: Simplify right side
    6,275.34x = 24,232,225.24
  5. Step 5: Solve for x
    x = 24,232,225.24/6,275.34
  6. Step 6: Final answer
    x = 3,861.50

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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.