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Finding the Fourth Proportional to 6,302.64, 9,454.49 and 1,920.13

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Solution

The fourth proportional to 6,302.64, 9,454.49 and 1,920.13 is: 2,880.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,302.64 : 9,454.49 = 1,920.13 : x
  2. Step 2: Convert to fraction form
    6,302.64/9,454.49 = 1,920.13/x
  3. Step 3: Cross multiply
    6,302.64x = 9,454.49 × 1,920.13
  4. Step 4: Simplify right side
    6,302.64x = 18,153,849.88
  5. Step 5: Solve for x
    x = 18,153,849.88/6,302.64
  6. Step 6: Final answer
    x = 2,880.36

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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.