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Finding the Fourth Proportional to 9,854.55, 13,575.47 and 8,433.68

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Solution

The fourth proportional to 9,854.55, 13,575.47 and 8,433.68 is: 11,618.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,854.55 : 13,575.47 = 8,433.68 : x
  2. Step 2: Convert to fraction form
    9,854.55/13,575.47 = 8,433.68/x
  3. Step 3: Cross multiply
    9,854.55x = 13,575.47 × 8,433.68
  4. Step 4: Simplify right side
    9,854.55x = 114,491,224.85
  5. Step 5: Solve for x
    x = 114,491,224.85/9,854.55
  6. Step 6: Final answer
    x = 11,618.11

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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.