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Finding the Fourth Proportional to 7,821.72, 10,793.16 and 4,464.18

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Solution

The fourth proportional to 7,821.72, 10,793.16 and 4,464.18 is: 6,160.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,821.72 : 10,793.16 = 4,464.18 : x
  2. Step 2: Convert to fraction form
    7,821.72/10,793.16 = 4,464.18/x
  3. Step 3: Cross multiply
    7,821.72x = 10,793.16 × 4,464.18
  4. Step 4: Simplify right side
    7,821.72x = 48,182,609.01
  5. Step 5: Solve for x
    x = 48,182,609.01/7,821.72
  6. Step 6: Final answer
    x = 6,160.10

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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.