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Finding the Fourth Proportional to 6,840.60, 9,440.15 and 4,009.65

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Solution

The fourth proportional to 6,840.60, 9,440.15 and 4,009.65 is: 5,533.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,840.60 : 9,440.15 = 4,009.65 : x
  2. Step 2: Convert to fraction form
    6,840.60/9,440.15 = 4,009.65/x
  3. Step 3: Cross multiply
    6,840.60x = 9,440.15 × 4,009.65
  4. Step 4: Simplify right side
    6,840.60x = 37,851,677.40
  5. Step 5: Solve for x
    x = 37,851,677.40/6,840.60
  6. Step 6: Final answer
    x = 5,533.39

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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.