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Finding the Fourth Proportional to 6,596.64, 9,903.60 and 5,205.60

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Solution

The fourth proportional to 6,596.64, 9,903.60 and 5,205.60 is: 7,815.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,596.64 : 9,903.60 = 5,205.60 : x
  2. Step 2: Convert to fraction form
    6,596.64/9,903.60 = 5,205.60/x
  3. Step 3: Cross multiply
    6,596.64x = 9,903.60 × 5,205.60
  4. Step 4: Simplify right side
    6,596.64x = 51,554,180.16
  5. Step 5: Solve for x
    x = 51,554,180.16/6,596.64
  6. Step 6: Final answer
    x = 7,815.22

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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.