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Finding the Fourth Proportional to 5,599.70, 7,730.90 and 4,976.92

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Solution

The fourth proportional to 5,599.70, 7,730.90 and 4,976.92 is: 6,871.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,599.70 : 7,730.90 = 4,976.92 : x
  2. Step 2: Convert to fraction form
    5,599.70/7,730.90 = 4,976.92/x
  3. Step 3: Cross multiply
    5,599.70x = 7,730.90 × 4,976.92
  4. Step 4: Simplify right side
    5,599.70x = 38,476,070.83
  5. Step 5: Solve for x
    x = 38,476,070.83/5,599.70
  6. Step 6: Final answer
    x = 6,871.10

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1.5x scale

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.