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Finding the Fourth Proportional to 6,597.64, 9,905.10 and 5,206.60

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Solution

The fourth proportional to 6,597.64, 9,905.10 and 5,206.60 is: 7,816.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,597.64 : 9,905.10 = 5,206.60 : x
  2. Step 2: Convert to fraction form
    6,597.64/9,905.10 = 5,206.60/x
  3. Step 3: Cross multiply
    6,597.64x = 9,905.10 × 5,206.60
  4. Step 4: Simplify right side
    6,597.64x = 51,571,893.66
  5. Step 5: Solve for x
    x = 51,571,893.66/6,597.64
  6. Step 6: Final answer
    x = 7,816.72

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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.