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Finding the Fourth Proportional to 7,978.80, 11,009.15 and 4,441.33

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Solution

The fourth proportional to 7,978.80, 11,009.15 and 4,441.33 is: 6,128.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,978.80 : 11,009.15 = 4,441.33 : x
  2. Step 2: Convert to fraction form
    7,978.80/11,009.15 = 4,441.33/x
  3. Step 3: Cross multiply
    7,978.80x = 11,009.15 × 4,441.33
  4. Step 4: Simplify right side
    7,978.80x = 48,895,276.38
  5. Step 5: Solve for x
    x = 48,895,276.38/7,978.80
  6. Step 6: Final answer
    x = 6,128.15

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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.