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Finding the Fourth Proportional to 7,954.70, 10,977.17 and 4,417.83

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Solution

The fourth proportional to 7,954.70, 10,977.17 and 4,417.83 is: 6,096.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,954.70 : 10,977.17 = 4,417.83 : x
  2. Step 2: Convert to fraction form
    7,954.70/10,977.17 = 4,417.83/x
  3. Step 3: Cross multiply
    7,954.70x = 10,977.17 × 4,417.83
  4. Step 4: Simplify right side
    7,954.70x = 48,495,248.85
  5. Step 5: Solve for x
    x = 48,495,248.85/7,954.70
  6. Step 6: Final answer
    x = 6,096.43

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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.