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Finding the Fourth Proportional to 7,207.46, 9,946.14 and 4,063.76

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Solution

The fourth proportional to 7,207.46, 9,946.14 and 4,063.76 is: 5,607.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,207.46 : 9,946.14 = 4,063.76 : x
  2. Step 2: Convert to fraction form
    7,207.46/9,946.14 = 4,063.76/x
  3. Step 3: Cross multiply
    7,207.46x = 9,946.14 × 4,063.76
  4. Step 4: Simplify right side
    7,207.46x = 40,418,725.89
  5. Step 5: Solve for x
    x = 40,418,725.89/7,207.46
  6. Step 6: Final answer
    x = 5,607.90

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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.