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Finding the Fourth Proportional to 7,002.88, 9,660.84 and 4,733.50

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Solution

The fourth proportional to 7,002.88, 9,660.84 and 4,733.50 is: 6,530.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,002.88 : 9,660.84 = 4,733.50 : x
  2. Step 2: Convert to fraction form
    7,002.88/9,660.84 = 4,733.50/x
  3. Step 3: Cross multiply
    7,002.88x = 9,660.84 × 4,733.50
  4. Step 4: Simplify right side
    7,002.88x = 45,729,586.14
  5. Step 5: Solve for x
    x = 45,729,586.14/7,002.88
  6. Step 6: Final answer
    x = 6,530.11

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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.