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Finding the Fourth Proportional to 7,243.76, 9,984.72 and 4,881.76

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Solution

The fourth proportional to 7,243.76, 9,984.72 and 4,881.76 is: 6,728.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,243.76 : 9,984.72 = 4,881.76 : x
  2. Step 2: Convert to fraction form
    7,243.76/9,984.72 = 4,881.76/x
  3. Step 3: Cross multiply
    7,243.76x = 9,984.72 × 4,881.76
  4. Step 4: Simplify right side
    7,243.76x = 48,743,006.71
  5. Step 5: Solve for x
    x = 48,743,006.71/7,243.76
  6. Step 6: Final answer
    x = 6,728.96

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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.