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Finding the Fourth Proportional to 6,580.58, 9,872.48 and 4,636.58

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Solution

The fourth proportional to 6,580.58, 9,872.48 and 4,636.58 is: 6,956.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,580.58 : 9,872.48 = 4,636.58 : x
  2. Step 2: Convert to fraction form
    6,580.58/9,872.48 = 4,636.58/x
  3. Step 3: Cross multiply
    6,580.58x = 9,872.48 × 4,636.58
  4. Step 4: Simplify right side
    6,580.58x = 45,774,505.55
  5. Step 5: Solve for x
    x = 45,774,505.55/6,580.58
  6. Step 6: Final answer
    x = 6,956.00

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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.