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Finding the Fourth Proportional to 4,777.92, 7,153.92 and 4,564.80

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Solution

The fourth proportional to 4,777.92, 7,153.92 and 4,564.80 is: 6,834.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,777.92 : 7,153.92 = 4,564.80 : x
  2. Step 2: Convert to fraction form
    4,777.92/7,153.92 = 4,564.80/x
  3. Step 3: Cross multiply
    4,777.92x = 7,153.92 × 4,564.80
  4. Step 4: Simplify right side
    4,777.92x = 32,656,214.02
  5. Step 5: Solve for x
    x = 32,656,214.02/4,777.92
  6. Step 6: Final answer
    x = 6,834.82

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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.