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Finding the Fourth Proportional to 7,175.38, 9,898.53 and 4,657.90

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Solution

The fourth proportional to 7,175.38, 9,898.53 and 4,657.90 is: 6,425.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,175.38 : 9,898.53 = 4,657.90 : x
  2. Step 2: Convert to fraction form
    7,175.38/9,898.53 = 4,657.90/x
  3. Step 3: Cross multiply
    7,175.38x = 9,898.53 × 4,657.90
  4. Step 4: Simplify right side
    7,175.38x = 46,106,362.89
  5. Step 5: Solve for x
    x = 46,106,362.89/7,175.38
  6. Step 6: Final answer
    x = 6,425.63

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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.