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Finding the Fourth Proportional to 6,684.56, 10,038.22 and 5,572.84

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Solution

The fourth proportional to 6,684.56, 10,038.22 and 5,572.84 is: 8,368.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,684.56 : 10,038.22 = 5,572.84 : x
  2. Step 2: Convert to fraction form
    6,684.56/10,038.22 = 5,572.84/x
  3. Step 3: Cross multiply
    6,684.56x = 10,038.22 × 5,572.84
  4. Step 4: Simplify right side
    6,684.56x = 55,941,393.94
  5. Step 5: Solve for x
    x = 55,941,393.94/6,684.56
  6. Step 6: Final answer
    x = 8,368.75

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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.