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Finding the Fourth Proportional to 7,803.93, 10,769.32 and 4,446.89

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Solution

The fourth proportional to 7,803.93, 10,769.32 and 4,446.89 is: 6,136.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,803.93 : 10,769.32 = 4,446.89 : x
  2. Step 2: Convert to fraction form
    7,803.93/10,769.32 = 4,446.89/x
  3. Step 3: Cross multiply
    7,803.93x = 10,769.32 × 4,446.89
  4. Step 4: Simplify right side
    7,803.93x = 47,889,981.41
  5. Step 5: Solve for x
    x = 47,889,981.41/7,803.93
  6. Step 6: Final answer
    x = 6,136.65

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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.