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Finding the Fourth Proportional to 7,402.06, 10,211.76 and 4,849.09

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Solution

The fourth proportional to 7,402.06, 10,211.76 and 4,849.09 is: 6,689.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,402.06 : 10,211.76 = 4,849.09 : x
  2. Step 2: Convert to fraction form
    7,402.06/10,211.76 = 4,849.09/x
  3. Step 3: Cross multiply
    7,402.06x = 10,211.76 × 4,849.09
  4. Step 4: Simplify right side
    7,402.06x = 49,517,717.77
  5. Step 5: Solve for x
    x = 49,517,717.77/7,402.06
  6. Step 6: Final answer
    x = 6,689.72

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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.