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Finding the Fourth Proportional to 4,974.06, 7,454.94 and 4,358.96

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Solution

The fourth proportional to 4,974.06, 7,454.94 and 4,358.96 is: 6,533.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,974.06 : 7,454.94 = 4,358.96 : x
  2. Step 2: Convert to fraction form
    4,974.06/7,454.94 = 4,358.96/x
  3. Step 3: Cross multiply
    4,974.06x = 7,454.94 × 4,358.96
  4. Step 4: Simplify right side
    4,974.06x = 32,495,801.53
  5. Step 5: Solve for x
    x = 32,495,801.53/4,974.06
  6. Step 6: Final answer
    x = 6,533.06

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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.