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Finding the Fourth Proportional to 7,304.76, 10,078.98 and 4,472.74

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Solution

The fourth proportional to 7,304.76, 10,078.98 and 4,472.74 is: 6,171.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,304.76 : 10,078.98 = 4,472.74 : x
  2. Step 2: Convert to fraction form
    7,304.76/10,078.98 = 4,472.74/x
  3. Step 3: Cross multiply
    7,304.76x = 10,078.98 × 4,472.74
  4. Step 4: Simplify right side
    7,304.76x = 45,080,706.34
  5. Step 5: Solve for x
    x = 45,080,706.34/7,304.76
  6. Step 6: Final answer
    x = 6,171.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.