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Finding the Fourth Proportional to 8,455.76, 11,672.22 and 7,570.02

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Solution

The fourth proportional to 8,455.76, 11,672.22 and 7,570.02 is: 10,449.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,455.76 : 11,672.22 = 7,570.02 : x
  2. Step 2: Convert to fraction form
    8,455.76/11,672.22 = 7,570.02/x
  3. Step 3: Cross multiply
    8,455.76x = 11,672.22 × 7,570.02
  4. Step 4: Simplify right side
    8,455.76x = 88,358,900.99
  5. Step 5: Solve for x
    x = 88,358,900.99/8,455.76
  6. Step 6: Final answer
    x = 10,449.56

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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.