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Finding the Fourth Proportional to 6,559.92, 9,816.84 and 4,824.24

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Solution

The fourth proportional to 6,559.92, 9,816.84 and 4,824.24 is: 7,219.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,559.92 : 9,816.84 = 4,824.24 : x
  2. Step 2: Convert to fraction form
    6,559.92/9,816.84 = 4,824.24/x
  3. Step 3: Cross multiply
    6,559.92x = 9,816.84 × 4,824.24
  4. Step 4: Simplify right side
    6,559.92x = 47,358,792.20
  5. Step 5: Solve for x
    x = 47,358,792.20/6,559.92
  6. Step 6: Final answer
    x = 7,219.42

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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.