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Finding the Fourth Proportional to 7,708.05, 11,573.00 and 7,355.70

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Solution

The fourth proportional to 7,708.05, 11,573.00 and 7,355.70 is: 11,043.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,708.05 : 11,573.00 = 7,355.70 : x
  2. Step 2: Convert to fraction form
    7,708.05/11,573.00 = 7,355.70/x
  3. Step 3: Cross multiply
    7,708.05x = 11,573.00 × 7,355.70
  4. Step 4: Simplify right side
    7,708.05x = 85,127,479.32
  5. Step 5: Solve for x
    x = 85,127,479.32/7,708.05
  6. Step 6: Final answer
    x = 11,043.97

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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.