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Finding the Fourth Proportional to 7,800.66, 11,709.09 and 4,520.16

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Solution

The fourth proportional to 7,800.66, 11,709.09 and 4,520.16 is: 6,784.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,800.66 : 11,709.09 = 4,520.16 : x
  2. Step 2: Convert to fraction form
    7,800.66/11,709.09 = 4,520.16/x
  3. Step 3: Cross multiply
    7,800.66x = 11,709.09 × 4,520.16
  4. Step 4: Simplify right side
    7,800.66x = 52,926,960.25
  5. Step 5: Solve for x
    x = 52,926,960.25/7,800.66
  6. Step 6: Final answer
    x = 6,784.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.