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Finding the Fourth Proportional to 7,153, 9,874.37 and 4,504.30

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Solution

The fourth proportional to 7,153, 9,874.37 and 4,504.30 is: 6,217.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,153 : 9,874.37 = 4,504.30 : x
  2. Step 2: Convert to fraction form
    7,153/9,874.37 = 4,504.30/x
  3. Step 3: Cross multiply
    7,153x = 9,874.37 × 4,504.30
  4. Step 4: Simplify right side
    7,153x = 44,477,124.79
  5. Step 5: Solve for x
    x = 44,477,124.79/7,153
  6. Step 6: Final answer
    x = 6,217.97

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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.