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Finding the Fourth Proportional to 4,948.42, 7,411.94 and 4,657.62

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Solution

The fourth proportional to 4,948.42, 7,411.94 and 4,657.62 is: 6,976.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,948.42 : 7,411.94 = 4,657.62 : x
  2. Step 2: Convert to fraction form
    4,948.42/7,411.94 = 4,657.62/x
  3. Step 3: Cross multiply
    4,948.42x = 7,411.94 × 4,657.62
  4. Step 4: Simplify right side
    4,948.42x = 34,521,999.98
  5. Step 5: Solve for x
    x = 34,521,999.98/4,948.42
  6. Step 6: Final answer
    x = 6,976.37

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1.5x scale

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.