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Finding the Fourth Proportional to 9,304.80, 13,952.40 and 3,458.40

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Solution

The fourth proportional to 9,304.80, 13,952.40 and 3,458.40 is: 5,185.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,304.80 : 13,952.40 = 3,458.40 : x
  2. Step 2: Convert to fraction form
    9,304.80/13,952.40 = 3,458.40/x
  3. Step 3: Cross multiply
    9,304.80x = 13,952.40 × 3,458.40
  4. Step 4: Simplify right side
    9,304.80x = 48,252,980.16
  5. Step 5: Solve for x
    x = 48,252,980.16/9,304.80
  6. Step 6: Final answer
    x = 5,185.82

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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.