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Finding the Fourth Proportional to 6,302.34, 9,454.93 and 1,920.15

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Solution

The fourth proportional to 6,302.34, 9,454.93 and 1,920.15 is: 2,880.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,302.34 : 9,454.93 = 1,920.15 : x
  2. Step 2: Convert to fraction form
    6,302.34/9,454.93 = 1,920.15/x
  3. Step 3: Cross multiply
    6,302.34x = 9,454.93 × 1,920.15
  4. Step 4: Simplify right side
    6,302.34x = 18,154,879.04
  5. Step 5: Solve for x
    x = 18,154,879.04/6,302.34
  6. Step 6: Final answer
    x = 2,880.66

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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.