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Finding the Fourth Proportional to 9,502.56, 13,117.14 and 8,505.99

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Solution

The fourth proportional to 9,502.56, 13,117.14 and 8,505.99 is: 11,741.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,502.56 : 13,117.14 = 8,505.99 : x
  2. Step 2: Convert to fraction form
    9,502.56/13,117.14 = 8,505.99/x
  3. Step 3: Cross multiply
    9,502.56x = 13,117.14 × 8,505.99
  4. Step 4: Simplify right side
    9,502.56x = 111,574,261.67
  5. Step 5: Solve for x
    x = 111,574,261.67/9,502.56
  6. Step 6: Final answer
    x = 11,741.50

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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.