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Finding the Fourth Proportional to 4,974.80, 7,462.20 and 4,686.80

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Solution

The fourth proportional to 4,974.80, 7,462.20 and 4,686.80 is: 7,030.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,974.80 : 7,462.20 = 4,686.80 : x
  2. Step 2: Convert to fraction form
    4,974.80/7,462.20 = 4,686.80/x
  3. Step 3: Cross multiply
    4,974.80x = 7,462.20 × 4,686.80
  4. Step 4: Simplify right side
    4,974.80x = 34,973,838.96
  5. Step 5: Solve for x
    x = 34,973,838.96/4,974.80
  6. Step 6: Final answer
    x = 7,030.20

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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.