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Finding the Fourth Proportional to 7,803.84, 10,770.72 and 4,660.24

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Solution

The fourth proportional to 7,803.84, 10,770.72 and 4,660.24 is: 6,431.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,803.84 : 10,770.72 = 4,660.24 : x
  2. Step 2: Convert to fraction form
    7,803.84/10,770.72 = 4,660.24/x
  3. Step 3: Cross multiply
    7,803.84x = 10,770.72 × 4,660.24
  4. Step 4: Simplify right side
    7,803.84x = 50,194,140.17
  5. Step 5: Solve for x
    x = 50,194,140.17/7,803.84
  6. Step 6: Final answer
    x = 6,431.98

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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.