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Finding the Fourth Proportional to 4,970, 7,437.72 and 4,685.96

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Solution

The fourth proportional to 4,970, 7,437.72 and 4,685.96 is: 7,012.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,970 : 7,437.72 = 4,685.96 : x
  2. Step 2: Convert to fraction form
    4,970/7,437.72 = 4,685.96/x
  3. Step 3: Cross multiply
    4,970x = 7,437.72 × 4,685.96
  4. Step 4: Simplify right side
    4,970x = 34,852,858.41
  5. Step 5: Solve for x
    x = 34,852,858.41/4,970
  6. Step 6: Final answer
    x = 7,012.65

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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.