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Finding the Fourth Proportional to 6,304.32, 9,458.16 and 2,355.92

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Solution

The fourth proportional to 6,304.32, 9,458.16 and 2,355.92 is: 3,534.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,304.32 : 9,458.16 = 2,355.92 : x
  2. Step 2: Convert to fraction form
    6,304.32/9,458.16 = 2,355.92/x
  3. Step 3: Cross multiply
    6,304.32x = 9,458.16 × 2,355.92
  4. Step 4: Simplify right side
    6,304.32x = 22,282,668.31
  5. Step 5: Solve for x
    x = 22,282,668.31/6,304.32
  6. Step 6: Final answer
    x = 3,534.51

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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.