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Finding the Fourth Proportional to 6,972.06, 10,458.08 and 6,206.60

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Solution

The fourth proportional to 6,972.06, 10,458.08 and 6,206.60 is: 9,309.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,972.06 : 10,458.08 = 6,206.60 : x
  2. Step 2: Convert to fraction form
    6,972.06/10,458.08 = 6,206.60/x
  3. Step 3: Cross multiply
    6,972.06x = 10,458.08 × 6,206.60
  4. Step 4: Simplify right side
    6,972.06x = 64,909,119.33
  5. Step 5: Solve for x
    x = 64,909,119.33/6,972.06
  6. Step 6: Final answer
    x = 9,309.89

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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.