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Finding the Fourth Proportional to 4,662.59, 6,959.75 and 4,109.00

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Solution

The fourth proportional to 4,662.59, 6,959.75 and 4,109.00 is: 6,133.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,662.59 : 6,959.75 = 4,109.00 : x
  2. Step 2: Convert to fraction form
    4,662.59/6,959.75 = 4,109.00/x
  3. Step 3: Cross multiply
    4,662.59x = 6,959.75 × 4,109.00
  4. Step 4: Simplify right side
    4,662.59x = 28,597,557.41
  5. Step 5: Solve for x
    x = 28,597,557.41/4,662.59
  6. Step 6: Final answer
    x = 6,133.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.