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Finding the Fourth Proportional to 13,403, 18,496.14 and 7,435.56

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Solution

The fourth proportional to 13,403, 18,496.14 and 7,435.56 is: 10,261.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,403 : 18,496.14 = 7,435.56 : x
  2. Step 2: Convert to fraction form
    13,403/18,496.14 = 7,435.56/x
  3. Step 3: Cross multiply
    13,403x = 18,496.14 × 7,435.56
  4. Step 4: Simplify right side
    13,403x = 137,529,158.74
  5. Step 5: Solve for x
    x = 137,529,158.74/13,403
  6. Step 6: Final answer
    x = 10,261.07

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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.