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Finding the Fourth Proportional to 7,852.50, 11,833.89 and 7,073.40

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Solution

The fourth proportional to 7,852.50, 11,833.89 and 7,073.40 is: 10,659.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,852.50 : 11,833.89 = 7,073.40 : x
  2. Step 2: Convert to fraction form
    7,852.50/11,833.89 = 7,073.40/x
  3. Step 3: Cross multiply
    7,852.50x = 11,833.89 × 7,073.40
  4. Step 4: Simplify right side
    7,852.50x = 83,705,837.53
  5. Step 5: Solve for x
    x = 83,705,837.53/7,852.50
  6. Step 6: Final answer
    x = 10,659.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.