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Finding the Fourth Proportional to 6,483.42, 9,724.14 and 2,100.24

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Solution

The fourth proportional to 6,483.42, 9,724.14 and 2,100.24 is: 3,150.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,483.42 : 9,724.14 = 2,100.24 : x
  2. Step 2: Convert to fraction form
    6,483.42/9,724.14 = 2,100.24/x
  3. Step 3: Cross multiply
    6,483.42x = 9,724.14 × 2,100.24
  4. Step 4: Simplify right side
    6,483.42x = 20,423,027.79
  5. Step 5: Solve for x
    x = 20,423,027.79/6,483.42
  6. Step 6: Final answer
    x = 3,150.04

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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.