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Finding the Fourth Proportional to 4,766.14, 7,098.37 and 4,483.45

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Solution

The fourth proportional to 4,766.14, 7,098.37 and 4,483.45 is: 6,677.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,766.14 : 7,098.37 = 4,483.45 : x
  2. Step 2: Convert to fraction form
    4,766.14/7,098.37 = 4,483.45/x
  3. Step 3: Cross multiply
    4,766.14x = 7,098.37 × 4,483.45
  4. Step 4: Simplify right side
    4,766.14x = 31,825,151.48
  5. Step 5: Solve for x
    x = 31,825,151.48/4,766.14
  6. Step 6: Final answer
    x = 6,677.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.