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Finding the Fourth Proportional to 9,004.46, 12,411.20 and 6,019.20

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Solution

The fourth proportional to 9,004.46, 12,411.20 and 6,019.20 is: 8,296.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,004.46 : 12,411.20 = 6,019.20 : x
  2. Step 2: Convert to fraction form
    9,004.46/12,411.20 = 6,019.20/x
  3. Step 3: Cross multiply
    9,004.46x = 12,411.20 × 6,019.20
  4. Step 4: Simplify right side
    9,004.46x = 74,705,464.94
  5. Step 5: Solve for x
    x = 74,705,464.94/9,004.46
  6. Step 6: Final answer
    x = 8,296.50

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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.