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Finding the Fourth Proportional to 6,089.92, 8,407.20 and 4,223.68

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Solution

The fourth proportional to 6,089.92, 8,407.20 and 4,223.68 is: 5,830.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,089.92 : 8,407.20 = 4,223.68 : x
  2. Step 2: Convert to fraction form
    6,089.92/8,407.20 = 4,223.68/x
  3. Step 3: Cross multiply
    6,089.92x = 8,407.20 × 4,223.68
  4. Step 4: Simplify right side
    6,089.92x = 35,509,322.50
  5. Step 5: Solve for x
    x = 35,509,322.50/6,089.92
  6. Step 6: Final answer
    x = 5,830.84

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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.