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Finding the Fourth Proportional to 28,852.50, 43,278.75 and 6,964.50

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Solution

The fourth proportional to 28,852.50, 43,278.75 and 6,964.50 is: 10,446.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,852.50 : 43,278.75 = 6,964.50 : x
  2. Step 2: Convert to fraction form
    28,852.50/43,278.75 = 6,964.50/x
  3. Step 3: Cross multiply
    28,852.50x = 43,278.75 × 6,964.50
  4. Step 4: Simplify right side
    28,852.50x = 301,414,854.38
  5. Step 5: Solve for x
    x = 301,414,854.38/28,852.50
  6. Step 6: Final answer
    x = 10,446.75

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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.