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Finding the Fourth Proportional to 7,546.12, 10,419.86 and 4,898.08

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Solution

The fourth proportional to 7,546.12, 10,419.86 and 4,898.08 is: 6,763.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,546.12 : 10,419.86 = 4,898.08 : x
  2. Step 2: Convert to fraction form
    7,546.12/10,419.86 = 4,898.08/x
  3. Step 3: Cross multiply
    7,546.12x = 10,419.86 × 4,898.08
  4. Step 4: Simplify right side
    7,546.12x = 51,037,307.87
  5. Step 5: Solve for x
    x = 51,037,307.87/7,546.12
  6. Step 6: Final answer
    x = 6,763.38

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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.