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Finding the Fourth Proportional to 9,496.56, 14,135.73 and 9,356.16

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Solution

The fourth proportional to 9,496.56, 14,135.73 and 9,356.16 is: 13,926.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,496.56 : 14,135.73 = 9,356.16 : x
  2. Step 2: Convert to fraction form
    9,496.56/14,135.73 = 9,356.16/x
  3. Step 3: Cross multiply
    9,496.56x = 14,135.73 × 9,356.16
  4. Step 4: Simplify right side
    9,496.56x = 132,256,151.60
  5. Step 5: Solve for x
    x = 132,256,151.60/9,496.56
  6. Step 6: Final answer
    x = 13,926.74

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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.