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Finding the Fourth Proportional to 9,811.75, 14,655.08 and 8,499.55

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Solution

The fourth proportional to 9,811.75, 14,655.08 and 8,499.55 is: 12,695.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,811.75 : 14,655.08 = 8,499.55 : x
  2. Step 2: Convert to fraction form
    9,811.75/14,655.08 = 8,499.55/x
  3. Step 3: Cross multiply
    9,811.75x = 14,655.08 × 8,499.55
  4. Step 4: Simplify right side
    9,811.75x = 124,561,585.21
  5. Step 5: Solve for x
    x = 124,561,585.21/9,811.75
  6. Step 6: Final answer
    x = 12,695.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.