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Finding the Fourth Proportional to 7,672.26, 10,565.64 and 7,197.60

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Solution

The fourth proportional to 7,672.26, 10,565.64 and 7,197.60 is: 9,911.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,672.26 : 10,565.64 = 7,197.60 : x
  2. Step 2: Convert to fraction form
    7,672.26/10,565.64 = 7,197.60/x
  3. Step 3: Cross multiply
    7,672.26x = 10,565.64 × 7,197.60
  4. Step 4: Simplify right side
    7,672.26x = 76,047,250.46
  5. Step 5: Solve for x
    x = 76,047,250.46/7,672.26
  6. Step 6: Final answer
    x = 9,911.98

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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.