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Finding the Fourth Proportional to 4,976.93, 7,466.07 and 1,689.14

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Solution

The fourth proportional to 4,976.93, 7,466.07 and 1,689.14 is: 2,533.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,976.93 : 7,466.07 = 1,689.14 : x
  2. Step 2: Convert to fraction form
    4,976.93/7,466.07 = 1,689.14/x
  3. Step 3: Cross multiply
    4,976.93x = 7,466.07 × 1,689.14
  4. Step 4: Simplify right side
    4,976.93x = 12,611,200.15
  5. Step 5: Solve for x
    x = 12,611,200.15/4,976.93
  6. Step 6: Final answer
    x = 2,533.93

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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.