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Finding the Fourth Proportional to 6,002.34, 9,002.84 and 1,620.24

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Solution

The fourth proportional to 6,002.34, 9,002.84 and 1,620.24 is: 2,430.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,002.34 : 9,002.84 = 1,620.24 : x
  2. Step 2: Convert to fraction form
    6,002.34/9,002.84 = 1,620.24/x
  3. Step 3: Cross multiply
    6,002.34x = 9,002.84 × 1,620.24
  4. Step 4: Simplify right side
    6,002.34x = 14,586,761.48
  5. Step 5: Solve for x
    x = 14,586,761.48/6,002.34
  6. Step 6: Final answer
    x = 2,430.18

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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.