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Finding the Fourth Proportional to 7,704.84, 10,631.88 and 4,347.84

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Solution

The fourth proportional to 7,704.84, 10,631.88 and 4,347.84 is: 5,999.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,704.84 : 10,631.88 = 4,347.84 : x
  2. Step 2: Convert to fraction form
    7,704.84/10,631.88 = 4,347.84/x
  3. Step 3: Cross multiply
    7,704.84x = 10,631.88 × 4,347.84
  4. Step 4: Simplify right side
    7,704.84x = 46,225,713.14
  5. Step 5: Solve for x
    x = 46,225,713.14/7,704.84
  6. Step 6: Final answer
    x = 5,999.57

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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.