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Finding the Fourth Proportional to 7,235.66, 10,854.30 and 2,304.16

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Solution

The fourth proportional to 7,235.66, 10,854.30 and 2,304.16 is: 3,456.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,235.66 : 10,854.30 = 2,304.16 : x
  2. Step 2: Convert to fraction form
    7,235.66/10,854.30 = 2,304.16/x
  3. Step 3: Cross multiply
    7,235.66x = 10,854.30 × 2,304.16
  4. Step 4: Simplify right side
    7,235.66x = 25,010,043.89
  5. Step 5: Solve for x
    x = 25,010,043.89/7,235.66
  6. Step 6: Final answer
    x = 3,456.50

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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.